## 4 Conclusions  
It was found that the most important factor in increasing entropy, and therefore in the successful dispersion of multi-walled carbon nanotubes (MWCNTs), is mixing entropy. Although the entropy of disorder has a lesser value, it also plays a role in ensuring the stable and uniform distribution of nanotubes in the plasticizer. Selecting plasticizers with higher molecular weights and densities, as well as maintaining an optimal concentration of MWCNTs, increases the entropy of the system and ensures thermodynamically stable dispersion. The overall entropy of the system, as the sum of mixing and disordering entropies, indicates that successful dispersion requires maximizing disorder in the system, which is achieved by increasing the mole fractions of the components (especially at high concentrations of MWCNTs); choosing plasticizers with high molecular weights and densities, leading to an increase in mixing entropy; and effectively breaking down MWCNT aggregates, which also contributes to increasing the system's entropy. It was established that increasing the concentration of MWCNTs leads to a decrease in the spontaneity of dispersion, making the process less effective at high concentrations. Effective dispersion of MWCNTs is observed at lower concentrations. A balanced relationship between \(\Delta H\) and \(\Delta S\) is key for successful dispersion. The increase in enthalpy and decrease in entropy at high concentrations indicate the need to optimize processes to achieve the desired effect. However, it is recommended to conduct further studies aimed at evaluating the influence of other factors (such as temperature, mixing time, and mechanical effects) on the dispersion of MWCNTs, which will allow for more accurate modeling of processes and finding optimal conditions for their application. The analysis of thermodynamic parameters of dispersive systems with multi-walled carbon nanotubes and hydrocarbon plasticizers has shown a complex relationship between free energy, enthalpy, and entropy, affecting the properties of polymer nanomodifiedbinders (PNB). The results demonstrate that higher values of mixing entropy are associated with improved stability of PNB, with systems using selectively purified extracts showing the best results. Despite the positive change in Gibbs free energy (\(\Delta G>0\)) for some compositions, which theoretically indicates instability, high stability of modified PBW is observed. The addition of MWCNTs to PNB based on different hydrocarbon plasticizers significantly increases their storage stability, as evidenced by a reduction in the difference in softening temperatures by up to 76% and penetration by up to 44%. This indicates the possibility of partially replacing the SBS polymer with MWCNTs with minimal impact on properties, opening up prospects for improving the cost-effectiveness and durability of materials. Fundamental thermodynamic calculations, including mixing entropy and changes in Gibbs free energy (\(\Delta G\)), have shown that dispersive systems with hydrocarbon plasticizers can exhibit both positive and negative values of \(\Delta G\). Negative values of \(\Delta G\) predictably indicate thermodynamic stability and preferred mixing of MWCNTs with the hydrocarbon plasticizer, especially at low concentrations. However, dispersive systems with extracts (distillate and residue) at a concentration of MWCNTs of 5\(\cdot\)10\({}^{-3}\)% with positive \(\Delta G\) demonstrated achieving better uniformity and stability of PBW due to structural changes induced by the interaction of nanotubes with polymers and bitumen. This indicates the need for a comprehensive approach to predicting the properties of the final material, considering both thermodynamic and macroscopic properties.