Patent Publication Number: US-2023145787-A1

Title: Rubber compounds for heavy-duty truck and bus tire treads and methods relating thereto

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     This application claims the priority benefit of U.S. Provisional Application No. 62/984,636, filed Mar. 3, 2020, the disclosure of which is incorporated herein by reference. 
     This application is related to concurrently filed U.S. Ser. No. 62/984,630, a provisional patent application having Attorney Docket No. 2020EM098 and entitled “Rubber Compounds for Passenger Tire Treads and Methods Relating Thereto”. 
    
    
     FIELD OF THE INVENTION 
     The present disclosure relates to rubber compounds comprising (a) natural rubber (NR) and/or polybutadiene rubber (BR) and (b) long chain branched cyclopentene ring-opening rubber (LCB-CPR) that are suitable for use in heavy-duty truck and bus tire treads. 
     BACKGROUND 
     The global automotive tire market has grown significantly over the past decade, which can be attributed to the increasing need of high performance tires over a variety of vehicle types (e.g., passenger cars, heavy-duty trucks, and the like). Consequently, adaptation to the automotive landscape has become a crucial investment by the tire companies, seeking to meet the changing demands for durability and other important tires properties (e.g., rolling resistance, tread wear, and wet traction). The tread rubber formulations play an essential role in achieving the performance targets for such properties. However, tire performance properties like rolling resistance and wet grip are inversely related such that an improvement in one of these properties is to the detriment of the other. Accordingly, the tire industry faces constant challenges for developing new and improved materials that would lead to improvement in all of the desired tire performance. 
     Typically, tire tread rubber formulations include a blend of rubbers of varied glass transition temperatures. Commonly, rubbers having low glass transition temperature (Tg) are known to improve tread wear and rolling resistance, while rubbers having high Tg typically improve traction characteristics. Particularly, rubbers having low Tg can improve rolling loss and wear resistance, though, at the expense of skid resistance properties. Hence, seeking for the optimal formulation to reach the desired properties described above is still ongoing. 
     The most commonly used synthetic tire rubbers are styrene-butadiene rubber (SBR) and BR. The production of such synthetic rubbers traditionally employs Ziegler-Natta catalysis. The resulting rubber microstructure holds a significant role in the tire properties in terms of manufacturing as the microstructure relates to different polymer properties, such as glass transition temperature and crystallinity. Therefore, the control of the rubber microstructure in synthetic rubbers may be used to tune the properties of the resultant rubber formulation. 
     Cyclopentene ring-opening rubbers (CPR) have been developed as an alternative to BR and SBR. CPR are obtained by ring-opening polymerization (ROMP) of cyclopentene (cC5), producing a branchless polymer chain. However, the resulting cross-linked rubber from CPR have been typically insufficient in wet grip for heavy-duty truck and bus tires. 
     For decades, reinforcing fillers (e.g., precipitated amorphous silicas and carbon blacks) have been used in the rubber industry in order to increase the usefulness of the rubbers. The presence of the reinforcing fillers in the tire tread rubber formulations can achieve longer-wearing products and increase the tire strength. Further, replacing the conventional reinforcing filler carbon black with highly-dispersible precipitated silica can result in a significant rolling loss reduction and a remarkable wet skid resistance improvement. However, reduction in rubber strength, deterioration of processability, and poor wear resistance have been observed for silica-filled rubbers, when compared to the carbon black-filled rubbers. Moreover, when a reinforcing filler silica is employed, organosilanes are needed to achieve a rubber blend where the rubber and silica filler have good interaction. However, organosilanes are high-cost inorganic processing aids. Accordingly, a cost-effective enhanced interaction between the reinforcing fillers and the rubber materials is highly desired. 
     References of interest include US patent numbers: U.S. Pat. Nos. 3,598,796, 3,631,010, 3,707,520, 3,778,420, 3,925,514, 3,941,757, 4,002,815, 4,239,484, 5,120,779, 8,227,371, 8,604,148, 8,889,786, 8,889,806, 9,708,435, and 10,072,101; US patent application publication number: US 2002/0166629, US 2009/0192277, US 2012/0077945, US 2013/0041122, US 2016/0002382, US 2016/0289352, US 2017/0233560, US 2017/0247479, US 2017/0292013, and US 2018/0244837; Canadian patent number: CA 1,074,949; WO patent application publication number WO 2018/173968; Japanese patent application publication numbers JP 2019/081839A and JP 2019/081840A; Yao et al. (2012) “Ring-Opening Metathesis Copolymerization of Dicyclopentadiene and Cyclopentene Through Reaction Injection Molding Process,”  Jrnl. of App. Poly. Sci ., v. 125, pp. 2489-2493 (2012), and Haas, F. et al. (1970) “Properties of a Trans-1,5-Polypentenamer Produced by Polymerization through Ring Cleavage of Cyclopentene”  Rubber Chemistry and Technology , v. 43(5) pp. 1116-1128. 
     SUMMARY OF THE INVENTION 
     The present disclosure relates to rubber compounds comprising NR and/or BR and LCB-CPR that are suitable for use in heavy-duty truck and bus tire treads, and other articles comprising such blends of NR, BR, and LCB-CPR. 
     The present disclosure includes a rubber compound for heavy-duty truck or bus tire treads comprising: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis to trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil. 
     The present disclosure also includes a method comprising: compounding: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis to trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil, thereby producing a rubber compound. 
     The present disclosure also includes a heavy-duty truck or bus tire tread comprising rubber compound that comprises: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis-to-trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil. The tire tread may have a depth of 3/32 inches to 32/32 inches. 
     Preferably styrene-butadiene rubber (SBR) is absent (i.e., 10 phr or less, or 5 phr or less or 0 phr) from the heavy-duty truck or bus tire tread. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The following figures are included to illustrate certain aspects of the embodiments, and should not be viewed as exclusive embodiments. The subject matter disclosed is capable of considerable modifications, alterations, combinations, and equivalents in form and function, as will occur to those skilled in the art and having the benefit of this disclosure. 
         FIG.  1    ( FIG.  1   ) is a copolymer with  13 C NMR assignments for determining the DCPD cis trans ratio. 
         FIG.  2    ( FIG.  2   ) is a copolymer with  1 H NMR assignments for determining the mol % NBE. 
         FIG.  3    ( FIG.  3   ) is a plot of engineering stress (MPa) versus engineering strain of various blends made of NR/cis-BR and NR/LCB-CPR, and filled with carbon black. 
         FIG.  4    ( FIG.  4   ) is a graph depicting the variation of tan δ versus the temperature (° C.) of various blends made of NR/cis-BR and NR/LCB-CPR, and filled with carbon black. 
         FIG.  5    ( FIG.  5   ) is a plot of engineering stress (MPa) versus engineering strain of various single polymers made of NR, cis-BR, and LCB-CPR, and filled with carbon black. 
         FIG.  6    ( FIG.  6   ) is a graph depicting the variation of tan δ versus the temperature (° C.) of various single polymers made of NR, cis-BR, and LCB-CPR, and filled with carbon black. 
         FIG.  7    ( FIG.  7   ) is a plot of DIN abrasion volume loss (mm 3 ) versus the amount of BR or LCB-CPR (parts per hundred of rubber or phr). 
     
    
    
     DETAILED DESCRIPTION 
     The present disclosure relates to rubber compounds comprising LCB-CPR and a rubber selected from a group consisting of a NR, a BR, and a combination thereof, that are suitable for use in heavy-duty truck and bus tire treads, and other articles comprising such blends of LCB-CPR, NR, and/or BR. Heavy-duty truck and bus tire treads may have a tread depth of 32/32 inches or less, or 3/32 inches or greater, or 3/32 inches to 32/32 inches, or 5/32 inches to 28/32 inches, or 9/32 inches to 25/32 inches, or 12/32 inches to 25/32 inches. 
     Embodiments of the present disclosure include rubber compounds comprising an immiscible blend of (a) a LCB-CPR (e.g., present at 5 phr to 100 phr, or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 30:70 to 10:90 (or 20:80 to 10:90, or 15:85); (b) a rubber selected from a group consisting of a NR, a BR, and a combination thereof (e.g., present at 0 phr to 95 phr, or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr, alternately at 50 phr to 95 phr), wherein the rubber has a ratio of cis to trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); (c) a reinforcing filler (e.g., present at 30 phr to 90 phr, or 35 phr to 85 phr, or 40 phr to 80 phr); (d) a process oil (e.g., present at 0.5 phr to 20 phr, or 1 phr to 15 phr, or 2 phr to 10 phr). Advantageously, such compositions provide improved reduction of tire rolling loss, and enhancement of wet skid resistance and wear resistance, processability and strength. Because of these improved properties, the rubber compounds described herein may be useful in producing higher quality heavy-duty truck and bus tires. Preferably, the LCB-CPR has a long chain branching (LCB) characterized by g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 30:70 to 10:90 (or 20:80 to 10:90, or 15:85). 
     The present disclosure also relates to the methods for making the foregoing rubber compounds comprising: blending the LCB-CPR with the rubber selected from a group consisting of a NR, a BR, and a combination thereof, reinforcing fillers, a process oil, and optionally other additives. 
     Said rubber compounds may be useful in tire treads to improve reduction of tire rolling loss, enhance of wet skid resistance, and enhance wear resistance. 
     Definitions and Test Methods 
     The new notation for the Periodic Table Groups is used as described in  Chemical and Engineering News , v. 63(5), 27 (1985). 
     Unless otherwise indicated, room temperature is 23° C. 
     The following abbreviations are used herein: NR is natural rubber, CPR is cyclopentene ring-opening rubber, BR is polybutadiene rubber, LCB is long chain branched, BHT is butylated hydroxytoluene; Me is methyl; iPr is isopropyl; Ph is phenyl; cC5 is cyclopentene; DCPD is dicyclopentadiene; Tb is tensile stress at break, Eb is elongation at break; wt % is weight percent; mol % is mole percent. 
     An “olefin,” alternatively referred to as “alkene,” is a linear, branched, or cyclic compound of carbon and hydrogen having at least one double bond. 
     A “polymer” has two or more of the same or different mer units. A “homopolymer” is a polymer having mer units that are the same. The term “polymer” as used herein includes, but is not limited to, homopolymers, copolymers, terpolymers, etc. The term “polymer” as used herein also includes impact, block, graft, random, and alternating copolymers. The term “polymer” shall further include all possible geometrical configurations unless otherwise specifically stated. Such configurations may include isotactic, syndiotactic, and random symmetries. 
     The term “blend” as used herein refers to a mixture of two or more polymers. Blends may be produced by, for example, solution blending, melt mixing, or compounding in a shear mixer. Solution blending is common for making adhesive formulations comprising baled butyl rubber, tackifier, and oil. Then, the solution blend is coated on a fabric substrate, and the solvent evaporated to leave the adhesive. 
     The term “monomer” or “comonomer,” as used herein, can refer to the monomer used to form the polymer (i.e., the unreacted chemical compound in the form prior to polymerization) and can also refer to the monomer after it has been incorporated into the polymer, also referred to herein as a “[monomer]-derived unit”. Different monomers are discussed herein, including propylene monomers, ethylene monomers, and diene monomers. 
     “Different” as used to refer to monomer mer units indicates that the mer units differ from each other by at least one atom or are different isomerically. 
     As used herein, when a polymer is referred to as “comprising, consisting of, or consisting essentially of” a monomer or monomer-derived units, the monomer is present in the polymer in the polymerized/derivative form of the monomer. For example, when a copolymer is said to have a “cyclopentene” content of 35 wt % to 55 wt %, it is understood that the mer unit in the copolymer is derived from cyclopentene in the polymerization reaction and said derived units are present at 35 wt % to 55 wt %, based upon the weight of the copolymer. 
     The mol ratio of first cyclic olefin comonomer-derived units to second cyclic olefin comonomer-derived units is determined using  1 H NMR where the different chemical shift of a hydrogen atom can be associated with each comonomer. Then, the relative intensity of the NMR associated with said hydrogens provides a relative concentration of each of the comonomers. 
     The ratio of cis to trans in a polymer is determined by  13 C NMR using the relevant olefinic resonances. A carbon in a cis configuration has a smaller NMR chemical shift than a carbon in a trans configuration. The exact chemical shift will depend on the other atoms the carbon is bonded to and a configuration of such bond, but by way of non-limiting example, 1-ethyl-3,4-dimethylpyrrolidine-2,5-dione has cis carbon atoms with a  13 C chemical shift of about 12.9 ppm for trans carbons and a  13 C chemical shift of about 11.2 ppm for cis carbons. Then, the relative intensity of the NMR associated with said cis and trans carbons provides a relative concentration of each of the comonomers. 
     Unless otherwise indicated, NMR spectroscopic data of polymers were recorded in a 10 mm tube on a cryoprobe with a field of at least 600 MHz NMR spectrometer at 25° C. using deuterated chloroform (CDCl 3 ) solvent to prepare a solution with a concentration of 30 mg/mL for  1 H NMR and 67 mg/mL for  13 C NMR.  1 H NMR was recorded using a 300 flip angle RF pulse, 512 transients, with a delay of 5 seconds between pulses.  13 C NMR was recorded using a 900 pulse, inverse gated decoupling, a 60 second delay, and 512 transients. Samples were referenced to the residual solvent signal of CDCl 3  at 77.16 ppm for  13 C and 7.26 ppm for  1 H. Assignments for DCPD (dicyclopentadiene) composition and cis/trans ratio were based on Benjamin Autenrieth, et. al. (2015) “Stereospecific Ring-Opening Metathesis Polymerization (ROMP) of endo-Dicyclopentadiene by Molybdenum and Tungsten Catalysts,”  Macromolecules , v. 48, pp. 2480-2492. Assignments for cyclopentene (cC5) compositions and cis/trans ratio were based on Dounis et. al. (1995) “Ring-Opening Metathesis Polymerization of Monocyclic Alkenes using Molybdenum and Tungsten Alkylidene (Schrock-Type) Initiators and  13 C Nuclear Magnetic Resonance Studies of the Resulting Polyalkenamers,”  Polymer , v. 36(14), pp. 2787-2796, and cC5-DCPD copolymer assignments were based on Dragutan, V. et. al. (2010)  Green Metathesis Chemistry: Great Challenges in Synthesis, Catalysis, and Nanotechnology , pp. 369-380. Appearances of the DCPD units in the polymer chain were uniform enough that there is no observable blockiness. 
     For example, mol % DCPD was calculated from  1 H NMR using the aliphatic region: DCPD (H4) at 3.22 ppm, cC5=(I 5-3 ppm −8*DCPD)/6; DCPD*100/(cC5+DCPD)=mol %, mol % cC5 is 1−DCPD or cC5*100/(DCPD+cC5). 
     cC5 cis/trans ratio was determined from  13 C NMR of the vinylene double bond region with the trans peak at 130.47 ppm and cis centered at 129.96 ppm. DCPD and norbornene (NBE) contribution to the region was considered negligible. 
     DCPD cis/trans ratio was determined from  13 C NMR of the C 2  and C 5  peaks per  FIG.  1    combined with trans at 47-45.5 ppm and cis at 42.2-41.4 ppm. Both values divided by 2 due to 2 carbons. % Trans=trans*100/(trans+cis) and vice versa. 
     Mol % NBE was calculated from  1 H NMR using the aliphatic region per  FIG.  2    where A and B&#39;s designations: NBE (A) at 2.88 ppm, NBE (mol %)=100*(I A /(I B +I A ). 
     Mn is the number average molecular weight, Mw is the weight average molecular weight, and Mz is the z average molecular weight. Molecular weight distribution (MWD) is defined to be Mw divided by Mn. Unless otherwise noted, all molecular weight units (e.g., Mw, Mn, Mz) are g/mol or kDa (1,000 g/mol=1 kDa). The molecular weight distribution, molecular weight moments (Mw, Mn, Mw/Mn) and long chain branching indices were determined by using a Polymer Char GPC-IR, equipped with three in-line detectors, an 18-angle light scattering (“LS”) detector, a viscometer and a differential refractive index detector (“DRI”). Three Agilent PLgel 10 μm Mixed-B LS columns were used for the GPC tests herein. The nominal flow rate was 0.5 mL/min, and the nominal injection volume was 200 μL. The columns, viscometer and DRI detector were contained in ovens maintained at 40° C. The tetrahydrofuran (THF) solvent with 250 ppm antioxidant butylated hydroxytoluene (BHT) was used as the mobile phase. The given amount of polymer samples were weighed and sealed in standard vials. After loading the vials in the auto sampler, polymers were automatically dissolved in the instrument with 8 mL added THF solvent at 40° C. for about two hours with continuous shaking. The concentration, c, at each point in the chromatogram was calculated from the baseline-subtracted DRI signal, I DRI , using the following equation: 
         c=K   DRI   I   DRI /( dn/dc ), 
     where K DRI  is a constant determined by calibrating the DRI, and (dn/dc) is the incremental refractive index of polymer in THF solvent. 
     The conventional molecular weight was determined by combining universal calibration relationship with the column calibration, which was performed with a series of monodispersed polystyrene (PS) standards ranging from 300 g/mole to 12,000,000 g/mole. The molecular weight “M” at each elution volume was calculated with following equation: 
     
       
         
           
             
               log 
               ⁢ 
               M 
             
             = 
             
               
                 
                   log 
                   ⁡ 
                   ( 
                   
                     
                       K 
                       PS 
                     
                     / 
                     K 
                   
                   ) 
                 
                 
                   a 
                   + 
                   1 
                 
               
               + 
               
                 
                   
                     
                       a 
                       PS 
                     
                     + 
                     1 
                   
                   
                     a 
                     + 
                     1 
                   
                 
                 ⁢ 
                 log 
                 ⁢ 
                 
                   M 
                   PS 
                 
               
             
           
         
       
     
     where the variables with subscript “PS” stand for polystyrene while those without a subscript are for the test samples. In this method, a PS =0.7362 and K PS =0.0000957 while “a” and “K” for the samples were 0.676 and 0.000521, respectively. 
     The LS molecular weight, M, at each point in the chromatogram was determined by analyzing the LS output using the Zimm model for static light scattering and determined using the following equation: 
     
       
         
           
             
               
                 
                   K 
                   o 
                 
                 ⁢ 
                 c 
               
               
                 Δ 
                 ⁢ 
                 
                   R 
                   ⁡ 
                   ( 
                   θ 
                   ) 
                 
               
             
             = 
             
               
                 1 
                 
                   MP 
                   ⁡ 
                   ( 
                   θ 
                   ) 
                 
               
               + 
               
                 2 
                 ⁢ 
                 
                   A 
                   2 
                 
                 ⁢ 
                 
                   c 
                   . 
                 
               
             
           
         
       
     
     Here, ΔR(θ) is the measured excess Rayleigh scattering intensity at scattering angle θ, “c” is the polymer concentration determined from the DRI analysis, A 2  is the second virial coefficient, P(θ) is the form factor for a mono-disperse random coil, and K o  is the optical constant for the system, as set forth in the following equation: 
     
       
         
           
             
               
                 K 
                 o 
               
               = 
               
                 
                   4 
                   ⁢ 
                   
                     π 
                     2 
                   
                   ⁢ 
                   
                     
                       
                         n 
                         2 
                       
                       ( 
                       
                         dn 
                         / 
                         dc 
                       
                       ) 
                     
                     2 
                   
                 
                 
                   
                     λ 
                     4 
                   
                   ⁢ 
                   
                     N 
                     A 
                   
                 
               
             
             , 
           
         
       
     
     where N A  is Avogadro&#39;s number, and (dn/dc) is the incremental refractive index for the system, which takes the same value as the one obtained from the DRI method, and the value of “n” is 1.40 for THF at 40° C. and λ=665 nm. For the samples used in this test, the dn/dc is measured as 0.1154 by DRI detector. 
     A four capillaries viscometer with a Wheatstone bridge configuration was used to determine the intrinsic viscosity [η] from the measured specific viscosity (η S ) and the concentration “c.” 
       η S   =c [η]+0.3( c [η]) 2 .
 
     The average intrinsic viscosity, [η] avg , of the sample was calculated using the following equation: 
     
       
         
           
             
               
                 
                   [ 
                   η 
                   ] 
                 
                 avg 
               
               = 
               
                 
                   ∑ 
                   
                     
                       
                         c 
                         i 
                       
                       [ 
                       η 
                       ] 
                     
                     i 
                   
                 
                 
                   ∑ 
                   
                     c 
                     i 
                   
                 
               
             
             , 
           
         
       
     
     where the summations are over the chromatographic slices, i, between the integration limits. 
     The branching index (g′ vis  or simply g′) is defined as the ratio of the intrinsic viscosity of the branched polymer to the intrinsic viscosity of a linear polymer of equal molecular weight. The branching index g′ is defined mathematically as: 
     
       
         
           
             
               g 
               ′ 
             
             = 
             
               
                 
                   
                     [ 
                     η 
                     ] 
                   
                   avg 
                 
                 
                   kM 
                   v 
                   α 
                 
               
               . 
             
           
         
       
     
     The M v  is the viscosity-average molecular weight based on molecular weights determined by LS analysis. The Mark-Houwink parameters, a and k, used for the reference linear polymer are 0.676 and 0.000521, respectively. 
     All the concentration is expressed in g/cm 3 , molecular weight is expressed in g/mole, and intrinsic viscosity is expressed in dL/g unless otherwise noted. 
     Differential Scanning Calorimetry (DSC) was used to determine the Tg and the melt temperature (Tm) of a polymer according to ASTM D3418-03. DSC data was be obtained using a TA Instruments model Q200 machine. Samples weighing approximately from 5 mg to 10 mg are placed an aluminum sample pan and hermetically sealed. The samples are heated to 200° C. at a rate of 10° C./minute and thereafter, held at 200° C. for 2 minutes. The samples are subsequently cooled to −150° C. at a rate of 10° C./minute and held isothermally for 2 minutes at −150° C. A second heating cycle was then performed by heating to 200° C. at 10° C./minute. Tg and Tm are based on the second heating cycle. 
     As used herein, “phr” means “parts per hundred parts rubber,” where the “rubber” is the total rubber content of the composition. Herein, both NR and CPR are considered to contribute to the total rubber content, such that in compositions where both are present, the “total rubber” is the combined weight of NR and CPR. Thus, for example, a composition having 40 parts by weight of CPR and 60 parts by weight of NR may be referred to as having 40 phr CPR and 60 phr NR. Other components added to the composition are calculated on a phr basis. For example, addition of 50 phr of oil to a composition means that 50 g of oil are present in the composition for every 100 g of CPR and NR combined. Unless specified otherwise, phr should be taken as phr on a weight basis. 
     The phase or loss angle δ, is the inverse tangent of the ratio of G″ (the shear loss modulus) to G′ (the shear storage modulus). For a typical linear polymer, the phase angle at low frequencies (or long times) approaches 900 because the chains can relax in the melt, adsorbing energy and making G″ much larger than G′. As frequencies increase, more of the chains relax too slowly to absorb energy during the shear oscillations, and G′ grows relative to G″. In contrast, a branched chain polymer relaxes very slowly even at temperatures well above the melting temperature of the polymer, because the branches need to retract before the chain backbone can relax along its tube in the melt. This polymer never reaches a state where all its chains can relax during a shear oscillation, and the phase angle never reaches 900 even at the lowest frequency, ω, of the experiments. These slowly relaxing chains lead to a higher zero shear viscosity. Long relaxation times lead to a higher polymer melt strength or elasticity. 
     The term “tan δ”, also referred to as tangent delta, is used for describing a compound&#39;s behavior under forced vibration (e.g., when a motion is sinusoidal). Particularly, tan δ is the ratio between G″ (the shear loss modulus) and G′ (the shear storage modulus), tan δ=G″/G′. The tan δ value is dependent to the temperature. 
     As used herein, “tensile strength” means the amount of stress applied to a sample to break the sample. It can be expressed in Pascals or pounds per square inch (psi). ASTM D412-16 can be used to determine tensile strength of a polymer. 
     “Mooney viscosity” as used herein is the Mooney viscosity of a polymer or polymer composition. The polymer composition analyzed for determining Mooney viscosity should be substantially devoid of solvent. For instance, the sample may be placed on a boiling-water steam table in a hood to evaporate a large fraction of the solvent and unreacted monomers, and then, dried in a vacuum oven overnight (12 hours, 90° C.) prior to testing, in accordance with laboratory analysis techniques, or the sample for testing may be taken from a devolatilized polymer (i.e., the polymer post-devolatilization in industrial-scale processes). Unless otherwise indicated, Mooney viscosity is measured using a Mooney viscometer according to ASTM D1646-17, but with the following modifications/clarifications of that procedure. First, sample polymer is pressed between two hot plates of a compression press prior to testing. The plate temperature is 125° C.+/−10° C. instead of the 50° C.+/−5° C. recommended in ASTM D1646-17, because 50° C. is unable to cause sufficient massing. Further, although ASTM D1646-17 allows for several options for die protection, should any two options provide conflicting results, PET 36 micron should be used as the die protection. Further, ASTM D1646-17 does not indicate a sample weight in Section 8; thus, to the extent results may vary based upon sample weight, Mooney viscosity determined using a sample weight of 21.5 g+/−2.7 g in the D1646-17 Section 8 procedures will govern. Finally, the rest procedures before testing set forth in D1646-17 Section 8 are 23° C.+/−3° C. for 30 minutes in air; Mooney values as reported herein were determined after resting at 24° C.+/−3° C. for 30 minutes in air. Samples are placed on either side of a rotor according to the ASTM D1646-17 test method; torque required to turn the viscometer motor at 2 rpm is measured by a transducer for determining the Mooney viscosity. The results are reported as Mooney Units (ML, 1+4 at 125° C.), where M is the Mooney viscosity number, L denotes large rotor (defined as ML in ASTM D1646-17), 1 is the pre-heat time in minutes, 4 is the sample run time in minutes after the motor starts, and 125° C. is the test temperature. Thus, a Mooney viscosity of 90 determined by the aforementioned method would be reported as a Mooney viscosity of 90 MU (ML, 1+4 at 125° C.). Alternatively, the Mooney viscosity may be reported as 90 MU; in such instance, it should be assumed that the just-described method is used to determine such viscosity, unless otherwise noted. In some instances, a lower test temperature may be used (e.g., 100° C.), in which case Mooney is reported as Mooney Viscosity (ML, 1+4 at 100° C.), or at T° C. where T is the test temperature. 
     The compression set of a material is a permanent deformation remaining after release of a compressive stress. The compression set of a material is dependent of the crosslinking density of the material, which is defined as the torque difference between a maximum torque (also referred to as “MH”) and a minimum torque (also referred to as “ML”). MH, ML, and the torque difference “MH-ML” are evaluated by a Moving Die Rheometer (MDR) testing method, a standard testing method of rubber curing. The MDR can be measured by the ASTM D5289 method, often reported in deciNewton meter (dN·m). 
     Numerical ranges used herein include the numbers recited in the range. For example, the numerical range “from 1 wt % to 10 wt %” includes 1 wt % and 10 wt % within the recited range. 
     Unless otherwise indicated, all numbers expressing quantities of ingredients, properties such as molecular weight, reaction conditions, and so forth used in the present specification and associated claims are to be understood as being modified in all instances by the term “about.” Accordingly, unless indicated to the contrary, the numerical parameters set forth in the following specification and attached claims are approximations that may vary depending upon the desired properties sought to be obtained by the embodiments of the present invention. At the very least, and not as an attempt to limit the application of the doctrine of equivalents to the scope of the claim, each numerical parameter should at least be construed in light of the number of reported significant digits and by applying ordinary rounding techniques. 
     One or more illustrative embodiments incorporating the invention embodiments disclosed herein are presented herein. Not all features of a physical implementation are described or shown in this application for the sake of clarity. It is understood that in the development of a physical embodiment incorporating the embodiments of the present invention, numerous implementation-specific decisions must be made to achieve the developer&#39;s goals, such as compliance with system-related, business-related, government-related and other constraints, which vary by implementation and from time to time. While a developer&#39;s efforts might be time-consuming, such efforts would be, nevertheless, a routine undertaking for those of ordinary skill in the art and having benefit of this disclosure. 
     While compositions and methods are described herein in terms of “comprising” or “having” various components or steps, the compositions and methods can also “consist essentially of” or “consist of” the various components and steps. 
     Rubber Compounds and Compounding 
     Rubber compounds described herein comprise: 5 phr to 100 phr (or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a LCB-CPR having a Tg of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis to trans of 30:70 to 10:90 (or 20:80 to 10:90, or 15:85); 0 phr to 95 phr of a rubber selected from a group consisting of a NR, a BR, and a combination thereof, wherein the rubber has a ratio of cis to trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); 10 phr to 110 phr (or 20 phr to 100 phr, or 30 phr to 90 phr, or 40 phr to 60 phr, or 45 phr to 55 phr) of a reinforcing filler; 0.5 phr to 40 phr (or 1 phr to 30 phr, or 2 phr to 20 phr, or 4 phr to 10 phr) of a process oil; and optionally additional additives. 
     Rubber compounds described herein can comprise a single LCB-CPR or a mixture of two or more LCB-CPRs (e.g., a dual reactor product or a melt blended composition). 
     The LCB-CPR may be present in the rubber compound at 5 phr to 100 phr, or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr. LCB-CPR compositions are described further below. 
     The NR may be present in the rubber compound at 0 phr to 95 phr, or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr. Alternatively, NR may be present in the rubber compound at 50 phr to 100 phr, or 70 phr to 100 phr, or 60 phr to 100 phr, or 70 phr to 100 phr. NR compositions are described further below. 
     The BR may be present in the rubber compound at 0 phr to 95 phr, or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr. Alternatively, BR may be present in the rubber compound at 50 phr to 100 phr, or 70 phr to 100 phr, or 60 phr to 100 phr, or 70 phr to 100 phr. BR compositions are described further below. 
     The reinforcing fillers may be present in the rubber compound at 30 phr to 90 phr, or 35 phr to 85 phr, or 40 phr to 80 phr. Reinforcing fillers are described further below. Examples of reinforcing fillers include, but are not limited to, carbon black and mineral reinforcing fillers. 
     Carbon black reinforcing fillers (e.g., having particle size from 20 nm to 600 nm and structure having a iodine absorption number within the range from 0 gI/kg to 150 gI/kg, as measured by the ASTM D1510 test method). Compositions of the present disclosure may comprise carbon black from 30 phr to 90 phr, preferably 35 phr to 85 phr, preferably 40 phr to 80 phr. 
     Mineral reinforcing fillers (talc, calcium carbonate, clay, silica, aluminum trihydrate, and the like), which may be present in the rubber compound from 30 phr to 90 phr, preferably 35 phr to 85 phr, preferably 40 phr to 80 phr. 
     The LCB-CPRs of the present disclosure exhibit a strong affinity to the reinforcing fillers, particularly to the carbon black reinforcing filler, which improves the wet traction while maintaining the roll resistance, as compared to the blends comprising NR/BR. Further, silica-filled rubber compounds typically exhibit improved wet traction but poor dry traction, when compared to carbon-filled rubber compounds. The present disclosure provides a carbon-filled rubber compounds comprising LCB-CPR with improved wet traction and similar or better rolling loss when compared to rubber compounds without LCB-CPR present in the formulation. 
     The process oil may be present in the rubber compound at 0.5 phr to 20 phr, or 1 phr to 15 phr, or 2 phr to 10 phr, or 4 phr to 8 phr. 
     Process oil, such as naphthenic base oil having a very low aromatic content and low paraffin (also referred to as “wax”) content (any suitable examples of naphthenic base oils including NYTEX™ 4700 is a high viscosity naphthenic black oil (NBO) (available from Nynas). 
     The rubber compounds described herein may also include additives that may include, but are not limited to, curatives, crosslinking agents, plasticizers, compatibilizers, and the like, and any combination thereof. 
     Suitable vulcanization activators include zinc oxide (also referred to as “ZnO”), stearic acid, and the like. These activators may be mixed in amounts ranging from 0.1 phr to 20 phr. Different vulcanization activators may be present in different amounts. For instance, where the vulcanization activator includes zinc oxide, the zinc oxide may be present in an amount from 1 phr to 20 phr, such as from 2.0 phr to 10 phr, such as about 2.5 phr, for example, while stearic acid may preferably be employed in amounts ranging from 0.1 phr to 5 phr, such as from 0.1 phr to 2 phr, such as about 1 phr, for example). 
     Any suitable vulcanizing agent may be used. Of particular note are curing agents as described in Col. 19, line 35 to Col. 20, line 30 of U.S. Pat. No. 7,915,354, which description is hereby incorporated by reference (e.g., sulfur, peroxide-based curing agents, resin curing agents, silanes, and hydrosilane curing agents). The resin curing agent would enable further tuning of the rubber compound viscoelasticity and improve the material strength. Example of suitable silanes may be Silane X 50-S™, which is a blend of a bi-functional sulfur-containing organosilane Si 69™ (bis(triethoxysilylpropyl)tetrasulfide)) and an N330 type carbon black in the ratio 1:1 by weight. Other examples include phenolic resin curing agents (e.g., as described in U.S. Pat. No. 5,750,625, also incorporated by reference herein). Cure co-agents may also be included (e.g., zinc dimethacrylate (ZDMA)) or those described in the already-incorporated description of U.S. Pat. No. 7,915,354). 
     Further additives may be chosen from any known additives useful for rubber compounds, and include, among others, one or more of:
         Vulcanization accelerators: compositions of the present disclosure can comprise 0.1 phr to 15 phr, or 1 phr to 5 phr, or 2 phr to 4 phr, with examples including thiazoles such as 2-mercaptobenzothiazole or mercaptobenzothiazyl disulfide (MBTS); guanidines such as diphenylguanidine; sulfenamides such as N-cyclohexylbenzothiazolsulfenamide; dithiocarbamates such as zinc dimethyl dithiocarbamate, zinc diethyl dithiocarbamate, zinc dibenzyl dithiocarbamate (ZBEC); and zinc dibutyldithiocarbamate, thioureas such as 1,3-diethylthiourea, thiophosphates and others;   Processing aids (e.g., polyethylene glycol or zinc soap);   Where foaming may be desired, sponge or foaming grade additives, such as foaming agent or blowing agent, particularly in very high Mooney viscosity embodiments, such as those suitable for sponge grades. Examples of such agents include: azodicarbonamide (ADC), ortho-benzo sulfonyl hydrazide (OBSH), p-toluenesulfonylhydrazide (TSH), 5-phenyltetrazole (5-PT), and sodium bicarbonate in citric acid. Microcapsules may also or instead be used for such foaming applications. These may include a thermo-expandable microsphere comprising a polymer shell with a propellant contained therein. Suitable examples are described in U.S. Pat. Nos. 6,582,633 and 3,615,972, WIPO Publication Nos. WO 1999/046320 and WO 1999/043758, and contents of which hereby are incorporated by reference. Examples of such thermo-expandable microspheres include EXPANCEL™ products commercially available from Akzo Nobel N.V., and ADVANCELL™ products available from Sekisui. In other embodiments, sponging or foaming may be accomplished by direct injection of gas and/or liquid (e.g., water, CO 2 , N 2 ) into the rubber in an extruder, for foaming after passing the composition through a die; and   Various other additives may also be included, such as antioxidants (e.g., 1,2-dihydro-2,2,4-trimethylquinoline; SANTOFLEX™ 6PPD), wax antiozonant (e.g., NOCHEK™ 4756A), stabilizers, anticorrosion agents, UV absorbers, antistatics, slip agents, moisture absorbents (e.g., calcium oxide), pigments, dyes or other colorants.       

     Rubber compounds of the present disclosure may be formed by combining the LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and additional additives, as needed, using any suitable method known in the polymer processing art. For example, a rubber compound may be made by blending the LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and additional additives, as needed, in solution and generally removing the blend. The components of the blend may be blended in any order. 
     In at least one instance, a method for preparing a rubber compound of the LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof, includes contacting in a first reactor a ROMP catalyst with cyclic monomer(s) (e.g., cC5) to form a LCB-polymer described herein. The method further includes preparing a solution of the rubber selected from a group consisting of a NR, a BR, and a combination thereof (either commercially available or formed in situ by using any suitable method for the production of the rubber selected from a group consisting of a NR, a BR, and a combination thereof). Methods can include transferring the LCB-CPR to the second reactor or the rubber selected from a group consisting of a NR, a BR, and a combination thereof, to the first reactor and recovering from the second reactor or the first reactor, respectively, a mixture of the LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof. The recovered rubber compound may then be crosslinked, for example, as described in more detail below. 
     Alternatively, a blend may be prepared by combining LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof from their respective reactions and mixed, for example, in a production extruder, such as the extruder on an injection molding machine or on a continuous extrusion line. 
     In another example, the method of blending the rubber polymers including LCB-CPR and rubber selected from a group consisting of a NR, a BR, and a combination thereof, may be to melt-blend the polymers in a batch mixer, such as a BANBURY™ or BARBENDER™ mixer. Blending may include melt blending the LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof in an extruder, such as a single-screw extruder or a twin-screw extruder. Suitable examples of extrusion technology for polymer blends can be described in more detail in  Plastics Extrusion Technology , F. Hensen, Ed. (Hanser, 1988), pp. 26-37, and in  Polypropylene Handbook , E. P. Moore, Jr. Ed. (Hanser, 1996), pp. 304-348, which are incorporated herein by reference. 
     The LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof, may also be blended by a combination of methods including, but not limited to, solution blending, melt mixing, compounding in a shear mixer and combinations thereof. For example, dry blending followed by melt blending in an extruder, or batch mixing of some components followed by melt blending with other components in an extruder. The LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof, may also be blended using a double-cone blender, ribbon blender, or other suitable blender, or in a FARREL CONTINUOUS MIXER™ (FCM™). 
     The LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives (e.g., curatives, crosslinking agents (or crosslinkers), plasticizers, compatibilizers, and the like) may be blended in varying orders, which in some instances may alter the properties of the resultant composition. 
     For example, a master batch that comprises the LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof, and additives (except curatives and crosslinking agents) may be produced at a first temperature. Then, the curatives and/or crosslinking agents may be mixed into the master batch at a second temperature that is lower than the first temperature. 
     In another example, the master batch may be produced by mixing together in one-step the LCB-CPR and the rubber selected from a group consisting of a NR, a BR, and a combination thereof, and the additives (except curatives and crosslinking agents) until the additives are incorporated (e.g., producing a homogeneous blend). This is referred to herein as a first pass method or first pass blending. After the first pass blending produces the master batch, the curatives and/or crosslinking agents may be mixed into the master batch to produce the final blend. 
     In yet another example, a two-step mixing process may be used to produce the master batch. For example, the master batch may be produced by mixing the LCB-CPR with the additives (except curatives and crosslinking agents) until the additives are incorporated into the LCB-CPR (e.g., producing a homogeneous blend). Then, the resultant blend is mixed with the rubber selected from a group consisting of a NR, a BR, and a combination thereof, and the curatives and/or crosslinking agents. This is referred to herein as a second pass method or a second pass blending. Alternatively, the curatives and/or crosslinking agents may be mixed into the master batch after addition of the rubber selected from a group consisting of a NR, a BR, and a combination thereof, in the second pass to produce the final blend. 
     In some second pass blendings, mixing the LCB-CPR/additive (except curatives and crosslinking agents) blend with the rubber selected from a group consisting of a NR, a BR, and a combination thereof, may be done in mixer or other suitable system without removing the LCB-CPR/additive blend from the mixer (i.e., first pass blending) to produce the master batch. Alternatively, the LCB-CPR/additive (except curatives and crosslinking agents) blend may be removed from a mixer or other suitable system for producing the blend, and, then, mixed with the rubber selected from a group consisting of a NR, a BR, and a combination thereof, in a mixer or other suitable system (i.e., second pass blending) to produce the master batch. 
     For example, method for preparing a rubber compound of the LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, and one or more reinforcing fillers includes mixing one or more reinforcing fillers through at least a two stages of mixing. For example, when the reinforcing filler is carbon black, the carbon black-filled rubber compound may go through two stages of mixing. In another example, when the reinforcing filler is silica, the silica-filled composition may go through three stages of mixing. 
     In embodiments where curatives (e.g., crosslinking agents or vulcanizing agents) are present in a rubber compound, the LCB-CPRs and the rubber selected from a group consisting of a NR, a BR, and a combination thereof of the rubber compound may be present in at least partially crosslinked form (that is, at least a portion of the polymer chains are crosslinked with each other, e.g., as a result of a curing process). Accordingly, particular embodiments provide for an at least partially crosslinked rubber compound made by mixing (in accordance with any of the above-described methods for polymer blends) a rubber compound comprising: (a) a LCB-CPR (e.g., present at 5 phr to 100 phr, or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) having a Tg of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis to trans of 30:70 to 10:90 (or 20:80 to 10:90, or 15:85); (b) a rubber selected from a group consisting of a NR, a BR, and a combination thereof (e.g., present at 0 phr to 95 phr, or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr, alternately at 50 phr to 100 phr), wherein the rubber has a ratio of cis-to-trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); (c) a reinforcing filler (e.g., present at 30 phr to 90 phr, or 35 phr to 85 phr, or 40 phr to 80 phr); (d) a process oil (e.g., present at 0.5 phr to 20 phr, or 1 phr to 15 phr, or 2 phr to 10 phr); (e) vulcanization activators, vulcanizing agents, and/or crosslinking agents; and optionally (f) further additives. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M, or 12.5 dN·M to 22.5 dN·M, or 13 dN·M to 20 dN·M. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting a NR, a BR, or a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.1 to 0.5, or 0.12 to 0.4, or 0.14 to 0.3. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.05 to 0.5, or 0.07 to 0.4, or 0.1 to 0.3. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35, or 0.12 to 0.32, or 0.14 to 0.3. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa, or 5.5 MPa to 7.5 MPa, or 6 MPa to 7 MPa. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the NR and/or BR, the reinforcing filler, the processing oil, and optionally additional additives) may have a DIN abrasion weight loss of 0.05 g to 0.25 g, or 0.06 g to 0.22 g, or 0.07 g to 0.20 g. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a hardness (Shore A) of 55 to 75, or 57.5 to 72.5, or 60 to 70, or 62.5 to 67.5. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa, or 10.2 MPa to 13 MPa, or 10.4 MPa to 12 MPa. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting of a NR, a BR, and a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have a tensile at break (Tb) of 15% to 30%, or 16% to 29%, or 17% to 28%, or 18% to 27%, or 17% to 26%, or 15% to 25%. 
     The rubber compounds described herein (e.g., comprising LCB-CPR, the rubber selected from a group consisting a NR, a BR, or a combination thereof, the reinforcing filler, the processing oil, and optionally additional additives) may have an elongation at break (Eb) of 400% to 600%, or 410% to 590%, or 420% to 580%, or 430% to 570%, or 440% to 560%, or 450% to 550%. 
     Long Chain Branched CPR 
     Rubber compounds described herein may comprise: 5 phr to 100 phr (or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a LCB-CPR having a Tg of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 40:60 to 5:95 (30:70 to 10:90, or 20:80 to 10:90, or 15:85). 
     Rubber compounds described herein can comprise a single LCB-CPR or a mixture of two or more LCB-CPR (e.g., a dual reactor product or blended LCB-CPRs). 
     The LCB-CPR may be a branched homopolymer of a cyclopentene monomers. Alternatively, the LCB-CPR may be a branched cyclic olefin copolymer produced from cyclopentene and one or more comonomers at a mol ratio of a cyclopentene to the comonomers (cumulatively) of 1:1 to 500:1 (or 5:1 to 250:1, 1:1 to 100:1, 1:1 to 10:1, 5:1 to 50:1, 50:1 to 250:1, or 100:1 to 500:1). 
     Examples of comonomers include, but are not limited to, cyclooctene, 1,5-cyclooctadiene, 1-hydroxy-4-cyclooctene, 1-acetoxy-4-cyclooctene, 5-methylcyclopentene, dicyclopentadiene (DCPD), norbornene, norbornadiene, cycloheptene, cyclooctene, cyclooctadiene, cyclododecene, 7-oxanorbornene, 7-oxanorbornadiene, cis-5-norbornene-endo-2,3-dicarboxylic anhydride, dimethyl norbornene carboxylate, and norbornene-exo-2,3-carboxylic anhydride. 
     Cyclic olefins suitable for use as comonomers in the methods of the present disclosure may be strained or unstrained (preferably strained); monocyclic or polycyclic (e.g., bicyclic); and optionally include hetero atoms and/or one or more functional groups. 
     The LCB-CPRs of the present disclosure may have a melting temperature of 5° C. to 35° C., or 7° C. to 30° C., or 10° C. to 20° C. 
     The LCB-CPRs of the present disclosure may have a Mw of 1 kDa to 1,000 kDa, or 10 kDa to 1,000 kDa, or 100 kDa to 1,000 kDa, or 250 kDa to 750 kDa, or 250 kDa to 550 kDa. 
     The LCB-CPRs of the present disclosure may have a Mn of 0.5 kDa to 500 kDa, or 1 kDa to 250 kDa, or 10 kDa to 250 kDa, or 50 kDa to 250 kDa, or 100 kDa to 500 kDa. 
     The LCB-CPRs of the present disclosure may have a MWD of 1 to 10, or greater than 1 to 10, or 1 to 5, or greater than 1 to 5 or 2 to 4, or 1 to 3, or greater than 1 to 3. 
     The long chain branching (LCB) can be qualitatively characterized by the analysis of the van Gurp-Palmen (vGP) plot according to the method described by Tinkle et al. (2002)  Rheol. Acta , v. 41, pg. 103. The vGP plot is a plot of the loss angle versus the magnitude of the complex modulus (|G*|) measured by dynamic oscillatory rheology in the linear viscoelastic regime. A linear polymer is characterized by a monotonic decreasing dependence of the loss angle with |G*| in the vGP plot and a long chain branched polymer has a shoulder or a minimum in the vGP plot. 
     The LCB-CPRs of the present disclosure having a long chain branching structure may have a δ at a G* of 50 kPa of 30° to 60°, or 30° to 50°, or 30° to 40°. Polymers of the present disclosure having a linear structure may have a 6 at a G* of 50 kPa of 65° to 80°, or 70° to 80°, or 700 to 75°. 
     The LCB-CPRs of the present disclosure may be produced by ring-opening metathesis polymerization (ROMP). 
     Metathesis Catalyst Compounds and Polymerization of LCB-CPRs 
     Catalysts suitable for use in conjunction with the methods described herein are any catalysts capable of performing ROMP. For example, the catalyst is a tungsten or ruthenium metal complex-based metathesis catalyst. 
     In embodiments according to the instant invention, a process to form a cyclic olefin polymerization catalyst comprises: 
     i) contacting a metal alkoxide (IIIa) with a transition metal halide (IV) to form a transition metal precatalyst (VIIIa) according to the general formula: 
     
       
         
         
             
             
         
       
     
     ii) contacting the transition metal precatalyst (VIIIa) with a metal alkyl activator (A) to form the activated catalyst comprising a transition metal carbene moiety M v =C(R*) 2  according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein M u  is a Group 1, 2, or 13 metal of valance u, preferably Li, Na, Ca, Mg, Al, or Ga; 
     c is from 1 to 3 and ≤u; 
     m=⅓, ½, 1, 2, 3, or 4 and c*m≤v−2; 
     a is 1, 2, or 3 and a≤u; 
     n is a positive number but a*n is in between 2 to 10; 
     M v  is a Group 5 or 6 transition metal of valance v; 
     X is halogen, 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; 
     each R is independently a C 1  to C 8  alkyl; 
     each R* is independently H or a C 1  to C 7  alkyl; and 
     each Z is independently halide or a C 1  to C 8  alkyl radical. 
     Accordingly, embodiments described herein may include Group 1 and Group 2 mono-alkoxides (e.g., Li(OR′) or Mg(OR′)X), Group 2 metal and Group 13 metal dialkoxides (e.g., Mg(OR′) 2  and Al(OR′) 2 X), and Group 13 trialkoxide (e.g., Al(OR′) 3 ), wherein R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table, and X is halogen. In any embodiment, metal alkoxide (IIIa) may comprise (a) a Group 1 metal, e.g., NaOR′ (u=1, c=1, d=0); (b) a Group 2 metal, e.g., Mg(OR′)Cl (u=2, c=1, d=1), or Mg(OR′) 2  (u=2, c=2, u=0); or (c) a Group 13 metal, e.g., Al(OR′)Cl 2  (u=3, c=1, d=2), Al(OR′) 2 Cl (u=3, c=2, d=1), or Al(OR′) 3  (u=3, c=3, d=0). 
     In embodiments of the invention, the metal alkoxide (IIIa) is formed by contacting a compound comprising a hydroxyl functional group (I) with a Group 1 or Group 2 metal hydride M u *(H) u  according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein M u * is a Group 1 or 2 metal of valance u*, preferably Na, Li, Ca, or Mg; 
     c is 1 or 2 and c is ≤u*; 
     X is halogen; and 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table. 
     In embodiments of the invention, the metal alkoxide (IIIa) is formed by contacting a compound comprising a hydroxyl functional group (I) with the metal alkyl activator (A) to form the metal alkoxide (IIIa) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; 
     M u  is a Group 1, 2, or 13 metal of valance u, preferably Li, Na, Ca, Mg, Al, or Ga; a is 1, 2, or 3; a is ≤u; and each R is independently a C 1  to C 8  alkyl. 
     In embodiments of the invention, the process further comprises contacting a mixture of metal alkoxides with one or more ligand donors (D) under conditions sufficient to crystalize and isolate the metal alkoxide (IIIa) as one or more dimeric coordinated metal alkoxide-donor composition according to the general structure (XXV-GD 2 ): 
     
       
         
         
             
             
         
       
     
     wherein M u  is a Group 1, 2, or 13 metal of valance u, preferably Li, Na, Ca, Mg, Al, or Ga; 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; 
     each L is R′O—, alkyl R as defined for structure A, or halide X; 
     each D is any O or N containing organic donor selected from ethers (e.g., dialkyl ethers, cyclic ethers), ketones, amines (e.g., trialkyl amines, aromatic amines, cyclic amines, and heterocyclic amines (e.g., pyridine)), nitriles (e.g., alkyl nitriles and aromatic nitriles), and any combination thereof (preferably, tetrahydrofuran, methyl-tertbutyl ether, a C 1 -C 4  dialkyl ether, a C 1 -C 4  trialkyl amine, and any combination thereof); and 
     n is 1, 2, 3, or 4. 
     In embodiments of the invention, a process to form a cyclic olefin polymerization catalyst comprises contacting an alkyl-metal alkoxide (IIIb) with a transition metal halide (IV) in a reaction mixture to form the activated catalyst (V) comprising a transition metal carbene moiety M v =C(R*) 2  according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein M ub  is a Group 2 or 13 metal of valance u, preferably Ca, Mg, Al, or Ga, most preferably Al; 
     a is 1 or 2 but &lt;u; 
     x is ½ or 1, 2, 3, or 4 but x*a&lt; or =v−2; 
     M v  is a Group 5 or 6 transition metal of valance v; 
     X is halogen; 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; 
     each R is independently a C 1  to C 8  alkyl; and 
     each R* is independently H or a C 1  to C 7  alkyl. 
     In embodiments of the invention, the reaction mixture further comprises a metal alkyl activator (A) according to the formula M u R a X (u-a) , wherein M u  is a Group 1, 2, or 13 metal of valance u, preferably Li, Na, Ca, Mg, Al, or Ga; a is 1, 2, or 3; a≤u; and when present, X is halogen. 
     In embodiments of the invention, M v  is W, Mo, Nb, or Ta. In some embodiments, two or more R′O— ligands are connected to form a single bidentate chelating moiety. 
     In one or more embodiments of the invention, a process to form a cyclic olefin polymerization catalyst comprises: (i) and (iia) or (i), (iib1), and (iib2):
         i) contacting a compound comprising a hydroxyl functional group (I) with an alkyl aluminum compound (II) to form an aluminum precatalyst (III) and the corresponding residual (Q1+Q2) according to the general formula:       

     
       
         
         
             
             
         
       
     
     wherein m is 1 or 2; 
     a is 1 or 2; 
     each Z is independently H or a C 1  to C 8  alkyl; 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; and 
     each Y is a C 1  to C 8  alkyl, halogen, or an alkoxy hydrocarbyl moiety represented by —OR 5 , wherein each R 5  is a C 1  to C 20  alkyl radical and wherein Y=C 1  to C 8  alkyl;
         iia) contacting the aluminum precatalyst (III) with a transition metal halide (IV) to form an activated carbene containing cyclic olefin polymerization catalyst (V) comprising a transition metal carbene moiety M ∇ =C(R*) 2  according to the general formula:       

     
       
         
         
             
             
         
       
     
     wherein each R* is independently H or a C 1  to C 7  alkyl; or
         iib1) contacting the aluminum precatalyst (III) with a transition metal halide (IV) to form a transition metal precatalyst, (VIII) according to the general formula:       

     
       
         
         
             
             
         
       
     
     wherein m=1, 2, or 3; y=⅓, ½, 1, 2, 3, or 4; y*m+3−m≤v−2; and
         iib2) contacting the transition metal precatalyst, (VIII) with a metal alkyl activator (A) to form the activated carbene containing cyclic olefin polymerization catalyst (V) comprising a transition metal carbene moiety M v =C(R*) 2  according to the general formula:       

     
       
         
         
             
             
         
       
     
     wherein R* is a hydrogen or C 1 -C 7  alkyl. 
     Embodiments in which R* is C 1 -C 7  alkyl are preferred because activators in which R* is an alkyl having 8 or more carbon atoms are not capable of directly activating the transition metal halide. 
     In one or more embodiments of the invention wherein a=3 such, the alkyl aluminum compound (II) is a trialkyl-aluminum (IX) and the residual is an alkane HR according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein m=1 or 2; and each R is independently a C 1  to C 8  alkyl radical. 
     In embodiments of the process, the aluminum precatalyst (III) is a dimer represented by structure (III-D) which is reacted with the transition metal halide (IV) to form the activated carbene containing cyclic olefin polymerization catalyst (V) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein each R is C 1  to C 8  alkyl; each R* is independently hydrogen or C 1  to C 7  alkyl; and 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table, or two or more of R′ are connected to form a bidentate chelating ligand. 
     In embodiments where a=2 and Y is halogen, the alkyl aluminum compound (II) is a dialkyl aluminum halide (VI), and the aluminum precatalyst is a di-halo tetrakis alkoxide aluminum dimer (VII) according to the general formula: 
     
       
         
         
             
             
         
       
     
     and
 
then, the di-halo tetrakis alkoxide aluminum dimer (VII) is contacted with the transition metal halide (IV) to form a di-halo transition metal precatalyst (VIII) according to the general formula:
 
     
       
         
         
             
             
         
       
     
     and 
     wherein the di-halo transition metal precatalyst (VIII) is contacted with a metal alkyl activator (A) to form the activated carbene containing cyclic olefin polymerization catalyst (V) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein a=1, 2, or 3; and a is ≤u. 
     In one or more embodiments of the invention, a molar ratio of M v  to M u -R in metal alkyl activator M u R a X (u-a)  is from 1 to 2 to 1 to 15. In one or more embodiments the alkoxy ligand R′O— comprises a C 7  to C 20  aromatic moiety and wherein the O atom directly bonds to the aromatic ring; the compound comprising a hydroxyl functional group (I) is a bidentate dihydroxy chelating ligand (X′); the alkyl aluminum compound (II) is a dialkyl aluminum halide (VI), and the aluminum precatalyst (III) is an aluminum alkoxide mono-halide (XI) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein R 1  is a direct bond between the two rings or a divalent hydrocarbyl radical comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; R 2  through R 9  are each independently a monovalent hydrocarbyl radicals comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table, or two or more of R 2  through R 9  join together for form a ring having 40 or less atoms from Groups 14, 15, and/or 16 of the periodic table. 
     In one or more embodiments of the invention, the process may further comprise: 
     i) contacting two equivalents of the aluminum alkoxide mono-halide (XI) with the transition metal halide (IV) to form a transition metal halo bis-alkoxide catalyst precursor (XII) according to the general formula: 
     
       
         
         
             
             
         
       
     
     and 
     ii) contacting the transition metal halo bis-alkoxide catalyst precursor (XII) with a trialkyl aluminum compound (IX) to form the activated carbene containing cyclic olefin polymerization catalyst (XIII) according to the general formula: 
     
       
         
         
             
             
         
       
     
     In other embodiments of the invention, the process may further comprise: 
     i) contacting one equivalent of the aluminum alkoxide mono-halide (XI) with a transition metal halide (IV) to form a transition metal halo alkoxide catalyst precursor (XIV) according to the general formula: 
     
       
         
         
             
             
         
       
     
     and 
     ii) contacting the transition metal halo alkoxide catalyst precursor (XIV) with a trialkyl aluminum compound (IX) to form the activated carbene containing cyclic olefin polymerization catalyst (XV) according to the general formula: 
     
       
         
         
             
             
         
       
     
     In one or more embodiments of the process, the compound comprising a hydroxyl functional group (I) is a bidentate dihydroxy chelating ligand (X′); the alkyl aluminum compound (II) is a trialkyl aluminum (IX), and the aluminum precatalyst (III) is an alkyl aluminum alkoxide (XX) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein R 1  is a direct bond between the two rings or a divalent hydrocarbyl radical comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; R 2  through R 9  are each independently a monovalent hydrocarbyl radicals comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table, or two or more of R 2  through R 9  join together for form a ring having 40 or less atoms from Groups 14, 15, and/or 16 of the periodic table. 
     In embodiments, the process further comprises contacting two equivalents of the aluminum-alkyl alkoxide (XX) with a transition metal halide (V) to form the activated carbene containing cyclic olefin polymerization catalyst (XXI) according to the general formula: 
     
       
         
         
             
             
         
       
     
     In embodiments of the invention, the process further comprises contacting one equivalent of the aluminum-alkyl alkoxide (XX) with a transition metal halide (V) to form the activated carbene containing cyclic olefin polymerization catalyst (XXIa) according to the general formula: 
     
       
         
         
             
             
         
       
     
     In embodiments of the process, the compound comprising a hydroxyl functional group (I) is a mixture comprising a bidentate dihydroxy chelating ligand (X′) and a monodentate hydroxy ligand (XVI); the alkyl aluminum compound (II) is a trialkyl aluminum (IX), and the aluminum precatalyst (III) is an aluminum tri-alkoxide (XVII), the process further comprising: 
     i) forming the aluminum tri-alkoxide (XVII) according to the general formula: 
     
       
         
         
             
             
         
       
     
     ii) contacting the aluminum tri-alkoxide (XVII) with a transition metal halide (IV) to form a transition metal alkoxide catalyst precursor (XVIII) according to the general formula: 
     
       
         
         
             
             
         
       
     
     and 
     iii) contacting the transition metal alkoxide catalyst precursor (XVIII) with a trialkyl aluminum compound (IX) to form the activated carbene containing cyclic olefin polymerization catalyst (XIX) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein M v  is a Group 5 or Group 6 transition metal of valance v; X is halogen; R 1  is a direct bond between the two rings of the bidentate ligand, or a divalent hydrocarbyl radical comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; each of R 2  through R 14  is independently, a hydrogen, a monovalent radical comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table, a halogen, or two or more of R 2  through R 9  and/or two or more of R 10  through R 14  join together to form a ring comprising 40 atoms or less from Groups 14, 15, and 16 of the periodic table. 
     In embodiments of the invention, the compound comprising a hydroxyl functional group (I) is an aromatic compound comprising a phenoxy hydroxyl group Ar—OH (XXIV); the alkyl aluminum compound (II) is an alkyl aluminum halide, and the aluminum precatalyst (III) is a mixture of aluminum alkoxides (XXVa), (XXVb), and (XXVc), the process further comprising 
     i) forming the mixture of aluminum alkoxides (XXVa), (XXVb), and (XXVc) according to the general formula: 
     
       
         
         
             
             
         
       
     
     wherein x is from 1 to 2; and 
     ii) contacting the mixture of metal alkoxides with one or more ligand donors (D) under conditions sufficient to crystalize and isolate the metal alkoxide (IIIa) as one or more dimeric coordinated metal alkoxide-donor composition according to the general structure (XXV-GD 2 ): 
     
       
         
         
             
             
         
       
     
     wherein M u  is a Group 1, 2, or 13 metal of valance u, preferably Li, Na, Ca, Mg, Al, or Ga; 
     each R′ is independently a monovalent hydrocarbyl comprising from 1 to 20 atoms selected from Groups 14, 15, and 16 of the periodic table; 
     each L is R′O—, alkyl R as defined for structure A, or halide X; 
     each D is any O or N containing organic donor selected from ethers (e.g., dialkyl ethers, cyclic ethers), ketones, amines (e.g., trialkyl amines, aromatic amines, cyclic amines, and heterocyclic amines (e.g., pyridine)), nitriles (e.g., alkyl nitriles and aromatic nitriles), and any combination thereof (preferably, tetrahydrofuran, methyl-tertbutyl ether, a C 1 -C 4  dialkyl ether, a C 1 -C 4  trialkyl amine, and any combination thereof); and 
     n is 1, 2, 3, or 4. 
     Another example of catalysts suitable for use in conjunction with the methods described herein may include, but are not limited to: 
     (i) a catalyst represented by the (XXVI): 
     
       
         
         
             
             
         
       
     
     where M is a group 8 metal, preferably Os or Ru, preferably Ru; 
     X and X 1  are, independently, any anionic ligand, preferably a halogen (preferably chlorine), an alkoxide or a triflate, or X and X 1  may be joined to form a dianionic group and may form a single ring of up to 30 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; 
     L and L 1  are, independently, a neutral two electron donor, preferably a phosphine or a N-heterocyclic carbene, L and L 1  may be joined to form a single ring of up to 30 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; 
     L and X may be joined to form a multidentate monoanionic group and may form a single ring of up to 30 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; 
     L 1  and X 1  may be joined to form a multidentate monoanionic group and may form a single ring of up to 30 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; and 
     R 1  and R 2  may be different or the same and may be hydrogen, substituted or unsubstituted alkyl, or substituted or unsubstituted aryl; and/or 
     (ii) a catalyst represented by (XXVII): 
     
       
         
         
             
             
         
       
     
     where M* is a Group 8 metal, preferably Ru or Os, preferably Ru; 
     X* and X1* are, independently, any anionic ligand, preferably a halogen (preferably chlorine), an alkoxide or an alkyl sulfonate, or X* and X1* may be joined to form a dianionic group and may form a single ring of up to 30 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; 
     L* is N—R**, 0, P—R**, or S, preferably N—R** or O (R** is a C 1  to C 30  hydrocarbyl or substituted hydrocarbyl, preferably methyl, ethyl, propyl or butyl); 
     R* is hydrogen or a C 1  to C 30  hydrocarbyl or substituted hydrocarbyl, preferably methyl; 
     R*, R 2 *, R 3 *, R 4 *, R 5 *, R 6 *, R 7 *, and R 8 * are, independently, hydrogen or a C 1  to C 30  hydrocarbyl or substituted hydrocarbyl, preferably methyl, ethyl, propyl or butyl, preferably R 1 *, R 2 *, R 3 *, and R 4 * are methyl; 
     each R 9 * and R 13 * are, independently, hydrogen or a C 1  to C 30  hydrocarbyl or substituted hydrocarbyl, preferably a C 2  to C 6  hydrocarbyl, preferably ethyl; 
     R 10 *, R 11 *, R 12 * are, independently hydrogen or a C 1  to C 30  hydrocarbyl or substituted hydrocarbyl, preferably hydrogen or methyl; 
     each G, is, independently, hydrogen, halogen or C 1  to C 30  substituted or unsubstituted hydrocarbyl (preferably a C 1  to C 30  substituted or unsubstituted alkyl or a substituted or unsubstituted C 4  to C 30  aryl); and 
     where any two adjacent R groups may form a single ring of up to 8 non-hydrogen atoms or a multinuclear-ring system of up to 30 non-hydrogen atoms; and/or 
     (iii) a Group 8 metal complex represented by (XXVIII): 
     
       
         
         
             
             
         
       
     
     wherein M″ is a Group 8 metal (preferably M is ruthenium or osmium, preferably ruthenium); 
     each X″ is independently an anionic ligand (preferably selected from the group consisting of halides, alkoxides, aryloxides, and alkyl sulfonates, preferably a halide, preferably chloride); 
     R ″1  and R ″2  are independently selected from the group consisting of hydrogen, a C 1  to C 30  hydrocarbyl, and a C 1  to C 30  substituted hydrocarbyl (preferably R ″1  and R ″2  are independently selected from the group consisting of methyl, ethyl, propyl, isopropyl, butyl, tert-butyl, sec-butyl, pentyl, cyclopentyl, hexyl, cyclohexyl, heptyl, octyl, cyclooctyl, and substituted analogs and isomers thereof, preferably selected from the group consisting of tert-butyl, sec-butyl, cyclohexyl, and cyclooctyl); 
     R ″3  and R ″4  are independently selected from the group consisting of hydrogen, C 1  to C 12  hydrocarbyl groups, substituted C 1  to C 12  hydrocarbyl groups, and halides (preferably R ″3  and R ″4  are independently selected from the group consisting of methyl, ethyl, propyl, isopropyl, butyl, tert-butyl, sec-butyl, pentyl, cyclopentyl, hexyl, cyclohexyl, heptyl, octyl, cyclooctyl, and substituted analogs and isomers thereof, preferably selected from the group consisting of tert-butyl, sec-butyl, cyclohexyl, and cyclooctyl); and 
     L″ is a neutral donor ligand, preferably L″ is selected from the group consisting of a phosphine, a sulfonated phosphine, a phosphite, a phosphinite, a phosphonite, an arsine, a stibine, an ether, an amine, an imine, a sulfoxide, a carboxyl, a nitrosyl, a pyridine, a thioester, a cyclic carbene, and substituted analogs thereof, preferably a phosphine, a sulfonated phosphine, an N-heterocyclic carbene, a cyclic alkyl amino carbene, and substituted analogs thereof (preferably L″ is selected from a phosphine, an N-heterocyclic carbene, a cyclic alkyl amino carbene, and substituted analogs thereof); and/or 
     (iv) a Group 8 metal complex represented by (XXIX): 
     
       
         
         
             
             
         
       
     
     wherein M″ is a Group 8 metal (preferably M is ruthenium or osmium, preferably ruthenium); 
     each X″ is independently an anionic ligand (preferably selected from the group consisting of halides, alkoxides, aryloxides, and alkyl sulfonates, preferably a halide, preferably chloride); 
     R ″1  and R ″2  are independently selected from the group consisting of hydrogen, a C 1  to C 30  hydrocarbyl, and a C 1  to C 30  substituted hydrocarbyl (preferably R ″1  and R ″2  are independently selected from the group consisting of methyl, ethyl, propyl, isopropyl, butyl, tert-butyl, sec-butyl, pentyl, cyclopentyl, hexyl, cyclohexyl, heptyl, octyl, cyclooctyl, and substituted analogs and isomers thereof, preferably selected from the group consisting of tert-butyl, sec-butyl, cyclohexyl, and cyclooctyl); 
     R ″3 , R ″4 , R ″5 , and R ″6  are independently selected from the group consisting of hydrogen, C 1  to C 12  hydrocarbyl groups, substituted C 1  to C 12  hydrocarbyl groups, and halides (preferably R ″3 , R ″4 , R ″5 , and R ″6  are independently selected from the group consisting of methyl, ethyl, propyl, isopropyl, butyl, tert-butyl, sec-butyl, pentyl, cyclopentyl, hexyl, cyclohexyl, heptyl, octyl, cyclooctyl, and substituted analogs and isomers thereof, preferably selected from the group consisting of tert-butyl, sec-butyl, cyclohexyl, and cyclooctyl). 
     Additional examples of catalysts suitable for use in conjunction with the methods described herein are available in U.S. Pat. No. 8,227,371 and US Patent Application Pub. Nos. US 2012/0077945 and US 2019/0040186, each of which is incorporated herein by reference. The catalysts may be zeolite-supported catalysts, silica-supported catalysts, and alumina-supported catalysts. 
     Two or more catalysts may optionally be used including combinations of the foregoing catalysts. 
     Optionally, an activator can be included with the catalyst. Examples of activators suitable for use in conjunction with the methods described herein include, but are not limited to, aluminum alkyls (e.g., triethylaluminum), organomagnesium compounds, and the like, and any combination thereof. 
     The reaction can be carried out as a solution polymerization in a diluent. Diluents for the methods described herein should be non-coordinating, inert liquids. Examples of diluents suitable for use in conjunction with the methods described herein may include, but are not limited to, straight and branched-chain hydrocarbons (e.g., isobutane, butane, pentane, isopentane, hexanes, isohexane, heptane, octane, dodecane, and mixtures thereof); cyclic and alicyclic hydrocarbons (e.g., cyclohexane, cycloheptane, methylcyclohexane, methylcycloheptane, and mixtures thereof such as ISOPAR™ (synthetic isoparaffins, commercially available from ExxonMobil Chemical Company)); perhalogenated hydrocarbons (e.g., perfluorinated C 4 -C 10  alkanes, chlorobenzene, and aromatic); alkyl substituted aromatic compounds (e.g., benzene, toluene, mesitylene, and xylene); and the like, and any combination thereof. 
     The reaction mixture can include diluents at 60 vol % or less, or 40 vol % or less, or 20 vol % or less, based on the total volume of the reaction mixture. 
     Generally, quenching compounds that stop the polymerization reaction are antioxidants, which may be dispersed in alcohols (e.g., methanol or ethanol). Examples of quenching compounds may include, but are not limited to, butylated hydroxytoluene, IRGANOX™ antioxidants (available from BASF), and the like, and any combination thereof. 
     The quenching compounds can be added to the reaction mixture at 0.05 wt % to 5 wt %, or 0.1 wt % to 2 wt % based on the weight of the polymer product. 
     In the ROMP process, the preparation of the ROMP catalyst and/or the copolymerization may be carried out in an inert atmosphere (e.g., under a nitrogen or argon environment) to minimize the presence of air and/or water. 
     Further, the ROMP process may be carried out in a continuous reactor or batch reactors. 
     LCB-CPRs of the present disclosure may have a mol ratio of first cyclic olefin comonomer-derived units to second cyclic olefin comonomer-derived units of 3:1 to 100:1, or 4:1 to 75:1, or 5:1 to 50:1, or 6:1 to 35:1. As previously discussed, previous methods where the second cyclic olefin comonomer is added in full, the second cyclic olefin comonomer incorporates to a greater degree than the first cyclic olefin comonomer. Accordingly, incorporation of the first cyclic olefin comonomer to a degree greater than a 3:1, 4:1, 5:1, or especially a 6:1 mol ratio of first cyclic olefin comonomer-derived units to second cyclic olefin comonomer-derived units was previously unattainable. 
     Tire Tread Compositions 
     Heavy-duty truck and bus tire treads can comprise rubber compounds described herein that comprise: 5 phr to 100 phr (or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a LCB-CPR having a Tg of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis to trans of 40:60 to 5:95 (30:70 to 10:90, or 20:80 to 10:90, or 15:85); 0 phr to 95 phr of a rubber selected from a group consisting of a NR, a BR, and a combination thereof, wherein the rubber has a ratio of cis to trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); 30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler; 0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil; and optionally additional additives. 
     To form the rubber compounds in accordance with at least one embodiment of the present disclosure, the rubber compounds may be compounded or otherwise mixed according to suitable mixing methods; and molded into tire treads, wherein crosslinking and/or curing occurs per known methods and at known points during the method of forming the tire tread and/or related rubber compound. 
     Example Embodiments and Clauses 
     A first nonlimiting example embodiment of the present disclosure is a rubber compound for heavy-duty truck or bus tire treads comprising: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis to trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil. The first nonlimiting example embodiment may include one or more of the following: Element 1: wherein the LCB-CPR has a weight average molecular weight (Mw) of 1 kDa to 1,000 kDa; Element 2: wherein the LCB-CPR has a number average molecular weight (Mn) of 0.5 kDa to 500 kDa; Element 3: wherein the LCB-CPR has a Mw divided by Mn of 1 to 10; Element 4: wherein the LCB-CPR has a melting temperature of 10° C. to 20° C.; Element 5: wherein the rubber has a ratio of cis-to-trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); Element 6: wherein the reinforcing filler is carbon black, silica, or a mixture thereof; Element 7: wherein the process oil is present at 1 phr to 10 phr; Element 8: wherein the rubber compound has a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M; Element 9: wherein the rubber compound has a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.05 to 0.5; Element 10: wherein the rubber compound has a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.1 to 0.5; Element 11: wherein the rubber compound has a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35; Element 12: wherein the rubber compound has a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa; Element 13: wherein the rubber compound has a DIN abrasion weight loss of 0.05 g to 0.25 g; Element 14: wherein the rubber compound has a hardness (Shore A) of 55 to 75; Element 15: wherein the rubber compound has a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa; Element 16: wherein the rubber compound has a tensile at break (Tb) of 15% to 30%; and Element 17: wherein the rubber compound has an elongation at break (Eb) of 400% to 600%. 
     A second nonlimiting example embodiment of the present disclosure is a method comprising: compounding: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis to trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil, thereby producing a rubber compound. The second nonlimiting example embodiment may include one or more of the following: Element 1; Element 2; Element 3; Element 4; Element 5; Element 6; Element 7; Element 8; Element 9; Element 10; Element 11; Element 12; Element 13; Element 14; Element 15; Element 16; Element 17; Element 18; Element 19; Element 20: the rubber compound further comprises 0.1 phr to 15 phr of a vulcanizing agent and/or a crosslinking agent, and wherein the method further comprises: at least partially crosslinking the rubber compound; Element 21: the method further comprising: molding the rubber compound into a heavy-duty truck and bus tire tread. 
     A third nonlimiting example embodiment of the present disclosure is a heavy-duty truck or bus tire tread comprising rubber compound that comprises: 5 to 100 parts by weight per hundred parts by weight rubber (phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C., a g′ vis  of 0.50 to 0.91, and a ratio of cis-to-trans of 40:60 to 5:95; 0 phr to 95 phr of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr of a reinforcing filler; and 0.5 phr to 20 phr of a process oil. The second nonlimiting example embodiment may include one or more of the following: Element 1; Element 2; Element 3; Element 4; Element 5; Element 6; Element 7; Element 8; Element 9; Element 10; Element 11; Element 12; Element 13; Element 14; Element 15; Element 16; Element 17; Element 18; Element 19; Element 22: wherein the rubber compound is at least partially crosslinked; and Element 23, wherein tire tread has a depth of 3/32 inches to 32/32 inches. 
     Clause 1. A rubber compound for heavy-duty truck or bus tire treads comprising: 5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85); 0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler; and 0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil. 
     Clause 2. The rubber compound of Clause 1, wherein the LCB-CPR has a weight average molecular weight (Mw) of 1 kDa to 1,000 kDa (or 10 kDa to 1,000 kDa, or 100 kDa to 1,000 kDa, or 250 kDa to 750 kDa, or 250 kDa to 550 kDa). 
     Clause 3. The rubber compound of Clause 1 or Clause 2, wherein the LCB-CPR has a number average molecular weight (Mn) of 0.5 kDa to 500 kDa (or 1 kDa to 250 kDa, or 10 kDa to 250 kDa, or 50 kDa to 250 kDa, or 100 kDa to 500 kDa). 
     Clause 4. The rubber compound of Clause 1 or Clause 2 or Clause 3, wherein the LCB-CPR has a Mw divided by Mn of 1 to 10 (or greater than 1 to 10, or 1 to 5, or greater than 1 to 5 or 2 to 4, or 1 to 3, or greater than 1 to 3). 
     Clause 5. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4, wherein the LCB-CPR has a melting temperature of 10° C. to 20° C. 
     Clause 6. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5, wherein the rubber has a ratio of cis-to-trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15). 
     Clause 7. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6, wherein the reinforcing filler is carbon black, silica, or a mixture thereof. 
     Clause 8. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7, wherein the process oil is present at 1 phr to 10 phr. 
     Clause 9. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8, wherein the rubber compound has a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M (or 12.5 dN·M to 22.5 dN·M, or 13 dN·M to 20 dN·M). 
     Clause 10. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9, wherein the rubber compound has a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.05 to 0.5 (or 0.07 to 0.4, or 0.1 to 0.3). 
     Clause 11. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10, wherein the rubber compound has a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.1 to 0.5 (or 0.12 to 0.4, or 0.14 to 0.3). 
     Clause 12. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11, wherein the rubber compound has a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35 (or 0.12 to 0.32, or 0.14 to 0.3). 
     Clause 13. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12, wherein the rubber compound has a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa (or 5.5 MPa to 7.5 MPa, or 6 MPa to 7 MPa). 
     Clause 14. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12 or Clause 13, wherein the rubber compound has a DIN abrasion weight loss of 0.05 g to 0.25 g (or 0.06 g to 0.22 g, or 0.07 g to 0.20 g). 
     Clause 15. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12 or Clause 13 or Clause 14, wherein the rubber compound has a hardness (Shore A) of 55 to 75 (or 57.5 to 72.5, or 60 to 70, or 62.5 to 67.5). 
     Clause 16. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12 or Clause 13 or Clause 14 or Clause 15, wherein the rubber compound has a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa (or 10.2 MPa to 13 MPa, or 10.4 MPa to 12 MPa). 
     Clause 17. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12 or Clause 13 or Clause 14 or Clause 15 or Clause 16, wherein the rubber compound has a tensile at break (Tb) of 15% to 30% (or 16% to 29%, or 17% to 28%, or 18% to 27%, or 17% to 26%, or 15% to 25%). 
     Clause 18. The rubber compound of Clause 1 or Clause 2 or Clause 3 or Clause 4 or Clause 5 or Clause 6 or Clause 7 or Clause 8 or Clause 9 or Clause 10 or Clause 11 or Clause 12 or Clause 13 or Clause 14 or Clause 15 or Clause 16 or Clause 17, wherein the rubber compound has an elongation at break (Eb) of 400% to 600% (or 410% to 590%, or 420% to 580%, or 430% to 570%, or 440% to 560%, or 450% to 550%). 
     Clause 19. A method comprising: compounding: 5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85); 0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler; and 0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil. 
     Clause 20. The method of Clause 19, wherein the rubber compound further comprises 0.1 phr to 15 phr (or 1 phr to 5 phr, or 2 phr to 4 phr) of a vulcanizing agent and/or a crosslinking agent, and wherein the method further comprises: at least partially crosslinking the rubber compound. 
     Clause 21. The method of any of Clause 19 or Clause 20 further comprising: molding the rubber compound into a heavy-duty truck and bus tire tread. 
     Clause 22. A heavy-duty truck or bus tire tread comprising rubber compound that comprises: 5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), and a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85); 0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, 30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler; and 0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil. 
     Clause 23. The heavy-duty truck or bus tire tread of Clause 22, wherein the rubber compound is at least partially crosslinked. 
     Clause 24. The heavy-duty truck or bus tire tread of Clause 22 or Clause 23, wherein tire tread has a depth of 3/32 inches to 32/32 inches (or 32/32 inches or less, or 3/32 inches or greater, or 3/32 inches to 32/32 inches, or 5/32 inches to 28/32 inches, or 9/32 inches to 25/32 inches, or 12/32 inches to 25/32 inches). 
     The present invention includes a rubber compound for heavy-duty truck or bus tire treads comprising: 
     5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85), a weight average molecular weight (Mw) of 1 kDa to 1,000 kDa (or 10 kDa to 1,000 kDa, or 100 kDa to 1,000 kDa, or 250 kDa to 750 kDa, or 250 kDa to 550 kDa), a number average molecular weight (Mn) of 0.5 kDa to 500 kDa (or 1 kDa to 250 kDa, or 10 kDa to 250 kDa, or 50 kDa to 250 kDa, or 100 kDa to 500 kDa), a Mw divided by Mn of 1 to 10 (or greater than 1 to 10, or 1 to 5, or greater than 1 to 5 or 2 to 4, or 1 to 3, or greater than 1 to 3), and/or a melting temperature of 10° C. to 20° C.; 
     0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, wherein the rubber has a ratio of cis to trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); 
     30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler (e.g., carbon black, silica, or a mixture thereof); and 
     0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil; and 
     wherein the rubber compound has a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M (or 12.5 dN·M to 22.5 dN·M, or 13 dN·M to 20 dN·M), a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.05 to 0.5 (or 0.07 to 0.4, or 0.1 to 0.3), a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.1 to 0.5 (or 0.12 to 0.4, or 0.14 to 0.3), a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35 (or 0.12 to 0.32, or 0.14 to 0.3), a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa (or 5.5 MPa to 7.5 MPa, or 6 MPa to 7 MPa), a DIN abrasion weight loss of 0.05 g to 0.25 g (or 0.06 g to 0.22 g, or 0.07 g to 0.20 g), a hardness (Shore A) of 55 to 75 (or 57.5 to 72.5, or 60 to 70, or 62.5 to 67.5), a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa (or 10.2 MPa to 13 MPa, or 10.4 MPa to 12 MPa), a tensile at break (Tb) of 15% to 30% (or 16% to 29%, or 17% to 28%, or 18% to 27%, or 17% to 26%, or 15% to 25%), and/or at break (Eb) of 400% to 600% (or 410% to 590%, or 420% to 580%, or 430% to 570%, or 440% to 560%, or 450% to 550%). 
     The present invention also includes a method comprising: 
     compounding the following to produce a rubber compound: 
     5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85), a weight average molecular weight (Mw) of 1 kDa to 1,000 kDa (or 10 kDa to 1,000 kDa, or 100 kDa to 1,000 kDa, or 250 kDa to 750 kDa, or 250 kDa to 550 kDa), a number average molecular weight (Mn) of 0.5 kDa to 500 kDa (or 1 kDa to 250 kDa, or 10 kDa to 250 kDa, or 50 kDa to 250 kDa, or 100 kDa to 500 kDa), a Mw divided by Mn of 1 to 10 (or greater than 1 to 10, or 1 to 5, or greater than 1 to 5 or 2 to 4, or 1 to 3, or greater than 1 to 3), and/or a melting temperature of 10° C. to 20° C.; 
     0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, wherein the rubber has a ratio of cis-to-trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); 
     30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler (e.g., carbon black, silica, or a mixture thereof); 
     0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil; and 
     optionally 0.1 phr to 15 phr (or 1 phr to 5 phr, or 2 phr to 4 phr) of a vulcanizing agent and/or a crosslinking agent; and 
     wherein the rubber compound has a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M (or 12.5 dN·M to 22.5 dN·M, or 13 dN·M to 20 dN·M), a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.05 to 0.5 (or 0.07 to 0.4, or 0.1 to 0.3), a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.1 to 0.5 (or 0.12 to 0.4, or 0.14 to 0.3), a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35 (or 0.12 to 0.32, or 0.14 to 0.3), a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa (or 5.5 MPa to 7.5 MPa, or 6 MPa to 7 MPa), a DIN abrasion weight loss of 0.05 g to 0.25 g (or 0.06 g to 0.22 g, or 0.07 g to 0.20 g), a hardness (Shore A) of 55 to 75 (or 57.5 to 72.5, or 60 to 70, or 62.5 to 67.5), a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa (or 10.2 MPa to 13 MPa, or 10.4 MPa to 12 MPa), a tensile at break (Tb) of 15% to 30% (or 16% to 29%, or 17% to 28%, or 18% to 27%, or 17% to 26%, or 15% to 25%), and/or at break (Eb) of 400% to 600% (or 410% to 590%, or 420% to 580%, or 430% to 570%, or 440% to 560%, or 450% to 550%). 
     When the vulcanizing agent and/or a crosslinking agent are included the method may further comprise: at least partially crosslinking the rubber compound. Further, the method (with or without crosslinking) may further comprise: molding the rubber compound into a heavy-duty truck and bus tire tread, which may have a tire tread has a depth of 3/32 inches to 32/32 inches (or 32/32 inches or less, or 3/32 inches or greater, or 3/32 inches to 32/32 inches, or 5/32 inches to 28/32 inches, or 9/32 inches to 25/32 inches, or 12/32 inches to 25/32 inches). 
     The present invention also includes a heavy-duty truck or bus tire tread comprising: 
     5 to 100 parts by weight per hundred parts by weight rubber (phr) (e.g., or 10 phr to 95 phr, or 15 phr to 80 phr, or 20 phr to 75 phr, or 30 phr to 70 phr) of a long chain branched cyclopentene ring-opening rubber (LCB-CPR) having a glass transition temperature (Tg) of −120° C. to −80° C. (or −110° C. to −85° C., or −100° C. to −90° C.), a g′ vis  of 0.50 to 0.91 (or 0.50 to 0.8, or 0.60 to 0.8, or 0.70 to 0.91), a ratio of cis-to-trans of 40:60 to 5:95 (or 30:70 to 10:90, or 20:80 to 10:90, or 15:85), a weight average molecular weight (Mw) of 1 kDa to 1,000 kDa (or 10 kDa to 1,000 kDa, or 100 kDa to 1,000 kDa, or 250 kDa to 750 kDa, or 250 kDa to 550 kDa), a number average molecular weight (Mn) of 0.5 kDa to 500 kDa (or 1 kDa to 250 kDa, or 10 kDa to 250 kDa, or 50 kDa to 250 kDa, or 100 kDa to 500 kDa), a Mw divided by Mn of 1 to 10 (or greater than 1 to 10, or 1 to 5, or greater than 1 to 5 or 2 to 4, or 1 to 3, or greater than 1 to 3), and/or a melting temperature of 10° C. to 20° C.; 
     0 phr to 95 phr (or 5 phr to 90 phr, or 10 phr to 80 phr, or 15 phr to 70 phr, or 20 phr to 60 phr, or 30 phr to 50 phr) of a rubber selected from a group consisting of a natural rubber (NR), a polybutadiene rubber (BR), and a combination thereof, wherein the rubber has a ratio of cis-to-trans of 70:30 to 100:0 (75:15 to 95:15, or 80:20 to 90:10, or 85:15); 
     30 phr to 90 phr (or 35 phr to 85 phr, or 40 phr to 80 phr) of a reinforcing filler (e.g., carbon black, silica, or a mixture thereof); 
     0.5 phr to 20 phr (or 1 phr to 15 phr, or 2 phr to 10 phr) of a process oil; and 
     optionally 0.1 phr to 15 phr (or 1 phr to 5 phr, or 2 phr to 4 phr) of a vulcanizing agent and/or a crosslinking agent; and 
     wherein the rubber compound has a cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes of 5 dN·M to 25 dN·M (or 12.5 dN·M to 22.5 dN·M, or 13 dN·M to 20 dN·M), a wet skid resistance (tan δ at −10° C., strain at 0.20%) of 0.05 to 0.5 (or 0.07 to 0.4, or 0.1 to 0.3), a wet skid resistance (tan δ at 0° C., strain at 2.0%) of 0.1 to 0.5 (or 0.12 to 0.4, or 0.14 to 0.3), a wear loss (tan δ at 60° C., strain at 2.0%) of 0.1 to 0.35 (or 0.12 to 0.32, or 0.14 to 0.3), a tire handling (G′ at 60° C., strain at 2.0%) of 5 MPa to 8 MPa (or 5.5 MPa to 7.5 MPa, or 6 MPa to 7 MPa), a DIN abrasion weight loss of 0.05 g to 0.25 g (or 0.06 g to 0.22 g, or 0.07 g to 0.20 g), a hardness (Shore A) of 55 to 75 (or 57.5 to 72.5, or 60 to 70, or 62.5 to 67.5), a tensile stress at 300% elongation (300% Modulus) at room temperature of 10 MPa to 14 MPa (or 10.2 MPa to 13 MPa, or 10.4 MPa to 12 MPa), a tensile at break (Tb) of 15% to 30% (or 16% to 29%, or 17% to 28%, or 18% to 27%, or 17% to 26%, or 15% to 25%), and/or at break (Eb) of 400% to 600% (or 410% to 590%, or 420% to 580%, or 430% to 570%, or 440% to 560%, or 450% to 550%); and 
     wherein the tire tread has a depth of 3/32 inches to 32/32 inches (or 32/32 inches or less, or 3/32 inches or greater, or 3/32 inches to 32/32 inches, or 5/32 inches to 28/32 inches, or 9/32 inches to 25/32 inches, or 12/32 inches to 25/32 inches). 
     It is to be understood that while the invention has been described in conjunction with the specific embodiments thereof, the foregoing description is intended to illustrate and not limit the scope of the invention. Other aspects, advantages and modifications will be apparent to those skilled in the art to which the invention pertains. 
     To facilitate a better understanding of the embodiments of the present invention, the following examples of preferred or representative embodiments are given. In no way should the following examples be read to limit, or to define, the scope of the invention. 
     EXAMPLES 
     Commercial cyclopentene (cC5) was purified by passing through the column with activated basic alumina. SMR™ 20 is a natural rubber available from Alibaba. NEODYMIUM HIGH-CIS DIENE™ 140ND is a BR available from Firestone. 
     N220 type carbon black is a reinforcing filler. NYTEX™ 4700 is a high viscosity naphthenic black oil (NBO). SANTOFLEX™ 6PPD is an antioxidant available from Eastman. KADOX™ 911 is a zinc oxide reinforcing agent of high surface area used as a crosslinker, accelerator, and initiator available from UPI Chem. TBBS is N-t-butyl-2-benzothiazolesulfenamide used as a delayed-action sulfenamide accelerator. 
     LCB-CPR Synthesis. At room temperature, to a beaker equipped with a magnetic stirrer and contained within an inert atmosphere glove box, were charged 0.793 g (2.00 mmol) of WCl 6  and about 25 mL of toluene. Next, 1.331 g (4.00 mmol) of (2-iPrPhO) 2 AlCl was added, and the resulting mixture was stirred for 2.5 hours at room temperature. Meanwhile, to a 4 L kettle reactor contained within an inert atmosphere glove box and fitted with a mechanical stirrer, 600 g of purified cC5 (previously treated by passing through a column packed with basic alumina) and 3.6 L of anhydrous toluene were added. The reaction kettle and the contents were chilled to 0° C. using an external thermostatic bath. With vigorous stirring, the catalyst solution described above was added to the kettle charge. The reaction was quenched at 8.3 hours, due to high viscosity, by the addition of a BHT solution prepared from 0.880 g of anhydrous BHT, 130 mL of anhydrous MeOH, and 260 mL of anhydrous toluene. The high-viscosity, gel-like reaction mixture was then precipitated into a stirred MeOH solvent (about 8 L). The resulting polymer was spread onto an aluminum foil in a fume hood, misted with a solution of BHT/MeOH (about 2 g of BHT), and was allowed to dry for 3 days. An additional drying in a vacuum oven at 50° C. for 14 hours was also applied. 
     According to the GPC testing, the resulting long chain branched CPR was obtained with a Mw of 349 kg/mol, a molecular weight distribution (Mw divided by Mn) of 2. According to the  13 C NMR testing, the resulting long chain branched CPR was obtained with a cis:trans ratio of 15/85. According to the DSC testing, the resulting long chain branched CPR was obtained with a Tg of −97° C. and a peak melting temperature Tm of 15° C. 
     Rubber Compounding. All tire tread compounds were prepared in a BARBENDER™ mixer. All carbon black-filled compositions (comparative examples C 1 -C 4  and inventive examples E 1  to E 3 ) went through two stages of mixing. After mixing, each composition was tested for cure behavior with a dynamic mechanical analyzer ATD™ 1000 (from Alpha Technologies). The testing was carried out at 160° C. for 45 minutes (at 1.67 Hz and 7.0% strain). 
     For each example (C 1  to C 4  and E 1  to E 3 ), one tensile pad (3.0 inch by 6.0 inch, about 2.0 mm in thickness) was cured under high pressure in a mold heated at 150° C. for tc 90 +2 minutes. Here the cure time tc 90  was from the cure test for the corresponding compound. 
     All rubber compounds (C 1  to C 4  and E 1  to E 3 ) were die-cut out from the tensile pad for both dynamic temperature ramp testing with an Advanced Rheometric Expansion System (ARES™) from Rheometric Scientific, Inc., and tensile testing at room temperature. A rectangular strip was die-cut out of the cured tensile pad for dynamic temperature ramp testing at 10 Hz and at the heating rate of 2° C./minute with an Advanced Rheometric Expansion System (ARES™) from Rheometric Scientific, Inc. Such testing employed a torsional rectangular geometry. The strain amplitude was at 0.20% below 0° C. while it was raised to 2.0% at and above 0° C. Six data points were collected per minute, and all tests ended at 100° C. 
     Micro-dumbbell specimens (according to ISO 37, Type III specimens) were employed for the tensile testing at room temperature. For most compounds, five specimens were tested for each compound. The values for 100% Modulus, 300% Modulus, tensile at break (Tb), and elongation at break (Eb) listed in the tables below were the average values for each quantity of a compound. 
     The foregoing reactions for making the rubber compounds comprising a blend of two rubber polymers (NR/cis-BR, or NR/LCB-CPR) and results for making the foregoing reactions of the rubber compounds comprising a blend of two rubber polymers (NR/cis-BR, or NR/LCB-CPR) are summarized in Table 1. The formulations of the rubber compounds C 1  and C 2 , including the inventive compositions E 1  and E 2  comprising a blend of NR/LCB-CPR (E 1  and E 2 , 30 phr to 50 phr of LCB-CPR), are displayed in Table 1. 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 1 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 C 1   
                 C 2   
                 E 1   
                 E 2   
               
               
                   
                   
               
            
           
           
               
            
               
                 Master Batch 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 NR SMR ™ 20 
                 70 
                 50 
                 70 
                 50 
               
               
                   
                 (phr) 
               
               
                   
                 Cis-BR 
                 30 
                 50 
                 0 
                 0 
               
               
                   
                 NEODYMIUM 
               
               
                   
                 HIGH-CIS 
               
               
                   
                 DIENE ™ 
               
               
                   
                 140ND (phr) 
               
               
                   
                 LCB-CPR (phr) 
                 0 
                 0 
                 30 
                 50 
               
               
                   
                 N220 carbon 
                 48 
                 48 
                 48 
                 48 
               
               
                   
                 black (phr) 
               
               
                   
                 NYTEX ™ (oil) 
                 6 
                 6 
                 6 
                 6 
               
               
                   
                 (phr) 
               
               
                   
                 Stearic acid 
                 3 
                 3 
                 3 
                 3 
               
               
                   
                 (phr) 
               
               
                   
                 SANTOFLEX ™ 
                 2 
                 2 
                 2 
                 2 
               
               
                   
                 6PPD (phr) 
               
               
                   
                 KADOX ™ 911 
                 5 
                 5 
                 5 
                 5 
               
               
                   
                 (phr) 
               
            
           
           
               
            
               
                 Final Batch 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 TBBS (phr) 
                 0.7 
                 0.7 
                 0.7 
                 0.7 
               
               
                   
                 Sulfur (phr) 
                 1.7 
                 1.7 
                 1.7 
                 1.7 
               
               
                   
                 Total (phr) 
                 166.4 
                 166.4 
                 166.4 
                 166.4 
               
               
                   
                   
               
            
           
         
       
     
     Comparative examples C 1  and C 2  were made of a blend of NR and cis-BR with a blend ratio of from 70/30 and 50/50, respectively. Inventive examples E 1  and E 2  were made of a blend of NR and LCB-CPR with a blend ratio of from 70/30 and 50/50, respectively. Cure characteristics of the samples, as well as their corresponding viscoelastic predictors for cured samples are summarized in Tables 2 and 3. The rubber compounds containing LCB-CPR (E 1  and E 3 ) exhibited good tensile properties. Cross-linking density (MH-ML) after curing at 160° C., 0.50 for 45 minutes, of E 1  and E 2  were higher than that of C 1  and C 2 . As the amount of LCB-CPR increased, the cross-linking density increased (see also Table 5, inventive example E 3  with rubber compound comprising exclusively LCB-CPR (100 phr) and no NR). The hardness (Shore A) of E 1  and E 2  were higher also than that of C 1  and C 2 , with the value of the hardness (Shore A) increasing as the amount of LCB-CPR increased (see also Table 5, inventive example E 3 ). 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 2 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 C 1   
                 C 2   
                 E 1   
                 E2 
               
               
                   
                   
               
            
           
           
               
            
               
                 Cure Testing at 160° C., 0.5° for 45 minutes 
               
            
           
           
               
               
               
               
               
            
               
                 ML (dN · m) 
                 1.75 
                 2.03 
                 1.70 
                 2.24 
               
               
                 MH (dN · m) 
                 12.10 
                 12.83 
                 12.67 
                 15.09 
               
               
                 MH − ML (dN · m) 
                 10.35 
                 10.80 
                 10.97 
                 12.85 
               
               
                 tc 90  (minute) 
                 15.29 
                 17.78 
                 16.75 
                 18.77 
               
            
           
           
               
            
               
                 Hardness (Shore A) average at room temperature with 
               
               
                 3.0 seconds delay 
               
            
           
           
               
               
               
               
               
            
               
                 Hardness 
                 60.6 
                 60.1 
                 63.3 
                 63.8 
               
               
                 (Shore A) 
               
            
           
           
               
            
               
                 Tensile Stress at room temperature, at 508 mm/min, 
               
               
                 Type 3 specimen, ISO 37 
               
            
           
           
               
               
               
               
               
            
               
                 100% Modulus 
                 2.12 
                 2.04 
                 2.43 
                 2.48 
               
               
                 (MPa) 
               
               
                 200% Modulus 
                 5.26 
                 4.82 
                 5.99 
                 6.12 
               
               
                 (MPa) 
               
               
                 300% Modulus 
                 9.51 
                 8.75 
                 10.47 
                 10.85 
               
               
                 (MPa) 
               
               
                 Tb (MPa) 
                 20.67 
                 20.54 
                 21.11 
                 20.10 
               
               
                 Eb (%) 
                 553.7 
                 579.2 
                 553.1 
                 511.6 
               
               
                   
               
            
           
         
       
     
     Representative curves of engineering stress (MPa) as a function of engineering strain are compared in  FIG.  3    for C 1  (NR/cis-BR 70/30), C 2  (NR/cis-BR 50/50), E 1  (NR/LCB-CPR 70/30), and E 2  (NR/LCB-CPR 50/50). Value of engineering stress at the strain of 300% (300% Modulus) was higher for E 1  and E 2 , when compared to C 1  and C 2 . 
       FIG.  4    illustrate the dynamic temperature ramp testing of C 1  (NR/cis-BR 70/30), C 2  (NR/cis-BR 50/50), E 1  (NR/LCB-CPR 70/30), and E 2  (NR/LCB-CPR 50/50), which depict the variation of tan δ as function of the temperature (° C.). Two peaks in tan δ appeared for C 1  (NR/cis-BR 70/30), C 2  (NR/cis-BR 50/50), E 1  (NR/LCB-CPR 70/30), and E 2 (NR/LCB-CPR 50/50), indicating an immiscible blend of NR and cis-BR, as well as NR and LCB-CPR with a trans content of 85%. The dynamic temperature ramp testing ( FIG.  4   ) has shown that, for example, increasing the tan δ at 0° C. measure of the tread rubber compound correlated to improved wet traction. Conversely, lowering tan δ at 60° C. correlated to improved rolling resistance. Generally, conventional tread rubber compounds that optimize tan δ at one temperature negatively impact tan δ at the other temperature, and therefore one component of tread performance is traded for another. Inventive examples E 1  and E 2  exhibited both improved rolling resistance and improved wet traction. 
     Various tire performance predictors are listed in Table 3 for C 1 , C 2 , E 1 , and E 2 , including the tire wet traction predictor tan δ at 0° C., tan δ at −10° C., the tire rolling resistance predictor tan δ at 60° C., and tire handling performance predictor G′ at 60° C. The LCB-CPR demonstrated strong affinity to the reinforcing filler carbon black. The immiscible blends of NR and LCB-CPR (E 1  and E 2 ) provided improved balanced properties of the rubber compounds, with better wet skid resistance (tan δ at −10° C., strain at 0.20%, and tan δ at 0° C., strain at 2.0%), better wear loss resistance (tan δ at 60° C., strain at 2.0%), and superior tire handling (G′ at 60° C., strain at 2.0%), when compared to C 1  and C 2 . When compared to C 1  and C 2 , the wear loss values of E 1  and E 2  seemed comparable. However, values of the wear loss should be combined with the abrasive resistance of the rubber compound in order to evaluate the deterioration/resistance to scratching abrasion under specific conditions. Thus, when the wear loss value of the samples were combined with the data obtained from the DIN Abrasion testing (see Table 7 and  FIG.  7   ), the DIN weight loss (g) of C 1  was higher than that of E 1  and E 2 , which indicated a better resistance to abrasion of the immiscible blend of NR and LCB-CPR. 
     
       
         
           
               
               
             
               
                   
                 TABLE 3 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
               
            
           
           
               
               
               
               
               
            
               
                   
                 C 1   
                 C 2   
                 E 1   
                 E 2   
               
            
           
           
               
            
               
                 ARES temperature ramp at 10 Hz, 2° C./min, strain at 0.20% for 
               
               
                 T &lt; 0° and 2.0% at T ≥ 0° C. 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 tan δ at −8° C., 
                 0.130 
                 0.115 
                 0.134 
                 0.121 
               
               
                 strain at 0.20% 
               
               
                 tan δ at 0° C., 
                 0.248 
                 0.238 
                 0.250 
                 0.215 
               
               
                 strain at 2.0% 
               
               
                 tan δ at 60° C., 
                 0.207 
                 0.195 
                 0.225 
                 0.196 
               
               
                 strain at 2.0% 
               
               
                 G′ at 60° C., 
                 4.94 
                 5.46 
                 6.00 
                 6.41 
               
               
                 strain at 2.0% 
               
               
                 (MPa) 
               
               
                   
               
            
           
         
       
     
     The foregoing reactions for making the rubber compounds comprising a single rubber polymer (NR, or cis-BR, or LCB-CPR), and results of the foregoing reactions for making the rubber compounds comprising a single rubber polymer (NR, or cis-BR, or LCB-CPR) are summarized in Table 4. The formulations of the rubber compounds C 3  (100 phr of NR) and C 4  (100 phr of cis-BR), including the inventive composition E 3  (100 phr of LCB-CPR), are displayed in Table 4. 
     
       
         
           
               
               
             
               
                   
                 TABLE 4 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
               
            
           
           
               
               
               
               
            
               
                   
                 C 3   
                 C 4   
                 E 3   
               
               
                   
                   
               
            
           
           
               
            
               
                 Master Batch 
               
            
           
           
               
               
               
               
               
            
               
                   
                 NR SMR ™ 20 
                 0 
                 100 
                 0 
               
               
                   
                 (phr) 
               
               
                   
                 Cis-BR 
                 100 
                 0 
                 0 
               
               
                   
                 NEODYMIUM 
               
               
                   
                 HIGH-CIS 
               
               
                   
                 DIENE ™ 
               
               
                   
                 140ND (phr) 
               
               
                   
                 LCB-CPR (phr) 
                 0 
                 0 
                 100 
               
               
                   
                 N220 carbon 
                 48 
                 48 
                 48 
               
               
                   
                 black (phr) 
               
               
                   
                 NYTEX ™ (oil) 
                 6 
                 6 
                 6 
               
               
                   
                 (phr) 
               
               
                   
                 Stearic acid 
                 3 
                 3 
                 3 
               
               
                   
                 (phr) 
               
               
                   
                 SANTOFLEX ™ 
                 2 
                 2 
                 2 
               
               
                   
                 6PPD (phr) 
               
               
                   
                 KADOX ™ 911 
                 5 
                 5 
                 5 
               
               
                   
                 (phr) 
               
            
           
           
               
            
               
                 Final Batch 
               
            
           
           
               
               
               
               
               
            
               
                   
                 TBBS (phr) 
                 0.7 
                 0.7 
                 0.7 
               
               
                   
                 Sulfur (phr) 
                 1.7 
                 1.7 
                 1.7 
               
               
                   
                 Total (phr) 
                 166.4 
                 166.4 
                 166.4 
               
               
                   
                   
               
            
           
         
       
     
     Comparative examples C 3  and C 4  were made of NR and cis-BR, respectively. Inventive example E 3  was made of LCB-CPR. Cure characteristics of the samples, as well as their corresponding viscoelastic predictors for cured samples are summarized in Tables 5 and 6. The rubber compounds containing LCB-CPR (E 3 ) exhibited good tensile properties. Cross-linking density (MH-ML) after curing at 160° C., 0.5° for 45 minutes, of E 3  was higher than that of C 3  and C 4 . As the amount of LCB-CPR increased, the cross-linking density increased (see E 1  and E 2 , Table 2). The hardness (Shore A) of E 3  was higher also than that of C 3  and C 4 , with the value of the hardness (Shore A) increasing as the amount of LCB-CPR increased (see E 1  and E 2 , Table 2). 
     
       
         
           
               
               
             
               
                   
                 TABLE 5 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
               
            
           
           
               
               
               
               
            
               
                   
                 C 3   
                 C 4   
                 E 3   
               
               
                   
                   
               
            
           
           
               
            
               
                 Cure Testing at 160° C., 0.5° for 45 minutes 
               
            
           
           
               
               
               
               
               
            
               
                   
                 ML (dN · m) 
                 2.60 
                 1.11 
                 3.11 
               
               
                   
                 MH (dN · m) 
                 15.58 
                 10.64 
                 21.99 
               
               
                   
                 MH − ML (dN · m) 
                 12.99 
                 9.53 
                 18.88 
               
               
                   
                 tc 90  (minute) 
                 22.91 
                 13.60 
                 21.95 
               
            
           
           
               
            
               
                 Hardness (Shore A) average at room temperature with 
               
               
                 3.0 seconds delay 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Hardness 
                 59.4 
                 59.6 
                 67.2 
               
               
                   
                 (Shore A) 
               
            
           
           
               
            
               
                 Tensile Stress at room temperature, at 508 mm/min, 
               
               
                 Type 3 specimen, ISO 37 
               
            
           
           
               
               
               
               
               
            
               
                   
                 100% Modulus 
                 1.87 
                 2.37 
                 2.75 
               
               
                   
                 (MPa) 
               
               
                   
                 200% Modulus 
                 3.94 
                 6.27 
                 6.94 
               
               
                   
                 (MPa) 
               
               
                   
                 300% Modulus 
                 7.37 
                 11.04 
                 12.38 
               
               
                   
                 (MPa) 
               
               
                   
                 Tb (MPa) 
                 18.58 
                 21.34 
                 20.31 
               
               
                   
                 Eb (%) 
                 583.3 
                 517.5 
                 439.5 
               
               
                   
                   
               
            
           
         
       
     
     Representative curves of engineering stress (MPa) as a function of engineering strain are compared in  FIG.  5    for C 3  (cis-BR), C 4  (NR), E 3  (LCB-CPR). Value of engineering stress at the strain of 300% (300% Modulus) was higher for E 3 , when compared to C 3  and C 4 , arising from the strain-induced crystallization behavior of high-trans LCB-CPR. 
       FIG.  7    illustrate the dynamic temperature ramp testing of C 3  (cis-BR), C 4  (NR), E 3  (LCB-CPR), which depict the variation of tan δ as function of the temperature (° C.). The value of tan δ for the inventive example E 3  was significantly lower than that of C 3  and C 4 . Inventive example E 3  exhibited both improved rolling resistance and improved wet traction. 
     Various tire performance predictors are listed in Table 6 for C 3 , C 4 , and E 3 , including the tire wet traction predictor tan δ at 0° C., tan δ at −10° C., the tire rolling resistance predictor tan δ at 60° C., and tire handling performance predictor G′ at 60° C. The LCB-CPR demonstrated strong affinity to the reinforcing filler carbon black. Overall, the immiscible blends of NR and LCB-CPR (E 3 ) provided improved balanced properties of the rubber compounds, with better wet skid resistance (tan δ at −10° C., strain at 0.20%, and tan δ at 0° C., strain at 2.0%), better wear loss resistance (tan δ at 60° C., strain at 2.0%), and superior tire handling (G′ at 60° C., strain at 2.0%), when compared to C 3  and C 4 . The values of the wear loss were combined with the abrasive resistance of the rubber compound in order to evaluate the deterioration/resistance to scratching abrasion under specific conditions. Thus, when the wear loss value of the samples were combined with the data obtained from the DIN Abrasion testing (see Table 7 and  FIG.  7   ), the DIN weight loss (g) of the rubber compounds comprising LCB-CPR was significantly lower than that of the rubber compounds that did not comprise LCB-CPR, which indicated a better resistance to abrasion of the rubber compounds comprising LCB-CPR than that of the rubber compounds comprising NR, for example. 
     
       
         
           
               
               
             
               
                   
                 TABLE 6 
               
             
            
               
                   
                   
               
               
                   
                 Samples 
               
            
           
           
               
               
               
               
            
               
                   
                 C 3   
                 C 4   
                 E 3   
               
            
           
           
               
            
               
                 ARES temperature ramp at 10 Hz, 2° C./min, strain at 0.20% for 
               
               
                 T &lt; 0° C. and 2.0% at T ≥ 0° C. 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 tan δ at −10° C., 
                 0.105 
                 0.136 
                 0.113 
               
               
                 strain at 0.20% 
               
               
                 tan δ at 0° C., 
                 0.189 
                 0.282 
                 0.168 
               
               
                 strain at 2.0% 
               
               
                 tan δ at 60° C., 
                 0.158 
                 0.240 
                 0.141 
               
               
                 strain at 2.0% 
               
               
                 G′ at 60° C., 
                 4.96 
                 5.41 
                 6.73 
               
               
                 strain at 2.0% 
               
               
                 (MPa) 
               
               
                   
               
            
           
         
       
     
     Table 7 and  FIG.  7    illustrate the DIN abrasion resistance (The average weight loss for each compound) for the rubber compounds C 1 -C 4  and E 1 -E 3 , as described above. The rubber compounds C 1 -C 4  and E 1 -E 3  stored under ambient conditions were used for curing three DIN abrasion buttons for rubber compound. The DIN abrasion testing was carried out at room temperature. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 7 
               
               
                   
               
             
            
               
                   
                 C 1   
                 C 2   
                 E 1   
                 E 2   
                 C 3   
                 C 4   
                 E 3   
               
               
                   
               
               
                 NR SMR ™ 20 (phr) 
                 70 
                 50 
                 70 
                 50 
                 0 
                 100 
                 0 
               
               
                 Cis-BR 
                 30 
                 50 
                 0 
                 0 
                 100 
                 0 
                 0 
               
               
                 NEODYMIUM 
                   
                   
                   
                   
                   
                   
                   
               
               
                 HIGH-CIS 
                   
                   
                   
                   
                   
                   
                   
               
               
                 DIENE ™ 140ND 
                   
                   
                   
                   
                   
                   
                   
               
               
                 (phr) 
                   
                   
                   
                   
                   
                   
                   
               
               
                 LCB-CPR (phr) 
                 0 
                 0 
                 30 
                 50 
                 0 
                 0 
                 100 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 DIN abrasion resistance (weight loss) at room temperature (g) 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 0.1103 
                 0.0747 
                 0.1060 
                 0.0850 
                 0.0470 
                 0.0303 
                 0.1797 
               
               
                   
               
            
           
         
       
     
     Therefore, the present invention is well adapted to attain the ends and advantages mentioned as well as those that are inherent therein. The particular embodiments disclosed above are illustrative only, as the present invention may be modified and practiced in different but equivalent manners apparent to those skilled in the art having the benefit of the teachings herein. Furthermore, no limitations are intended to the details of construction or design herein shown, other than as described in the claims below. It is therefore evident that the particular illustrative embodiments disclosed above may be altered, combined, or modified and all such variations are considered within the scope and spirit of the present invention. The invention illustratively disclosed herein suitably may be practiced in the absence of any element that is not specifically disclosed herein and/or any optional element disclosed herein. While compositions and methods are described in terms of “comprising,” “containing,” “having,” or “including” various components or steps, the compositions and methods can also “consist essentially of” or “consist of” the various components and steps. All numbers and ranges disclosed above may vary by some amount. Whenever a numerical range with a lower limit and an upper limit is disclosed, any number and any included range falling within the range is specifically disclosed. In particular, every range of values (of the form, “from about a to about b,” or, equivalently, “from approximately a to b,” or, equivalently, “from approximately a-b”) disclosed herein is to be understood to set forth every number and range encompassed within the broader range of values. Also, the terms in the claims have their plain, ordinary meaning unless otherwise explicitly and clearly defined by the patentee. Moreover, the indefinite articles “a” or “an,” as used in the claims, are defined herein to mean one or more than one of the element that it introduces.