Talk:Ideal chain

message: If anyone has an example of a polymer whose monomers form an ideal mix with its solvant, or an experiment where a polymer behaves in some way or the other like an ideal chain, that'll be great.ThorinMuglindir 10:41, 29 October 2005 (UTC)
replies: text: many interesting stuff in your intervention, however I think there might be some confusion between excluded volume effects that happen between neighbouring polymers (thermal blob) and excluded volume effect between the very monomers of the single polymer, which the worm-like-chain model tries to account for. Nevertheless, I'd say that such a passage as "A solvent in which a polymer displays ideal behavior is typically called a theta solvent" has to be included in the article, which I'll do in a couple of days. maybe I can add more if I get to understand what you meant, after all it could be that it's me who's being confused. Stacy333 (talk) 14:50, 22 May 2008 (UTC)

text: Hi,I used to be Thorin Muglindir in the past, now I'm just little Stacy. Hmmm, if my former incarnation among you earthlings made such a mistake, it needs to be clarified. However, it seems to me that the probability associated to the end to end distance ought to have the dimensionality of the inverse of a length (m^{-1}), while the probability density associated to the end to end vector in 3d space ought to have the dimensionality of the inverse of a volume (m^{-3}). After correcting them, the formulas that Patrick comes up with appear to not have the correct dimensionality... I think it would be correct that the End-to-End Vektors is Normal distributed, but The End to End distance are NOT! but I'm afraid you somehow got the two mixed-up mein Herr, while the article is correct (at least its formula has the right dimensionality)... I'm not sure though, I will have to think about this although my physics degree is located a couple more years in the past than when I used to be Thorin Muglindir Stacy333 (talk) 14:50, 22 May 2008 (UTC)
thread_title:  Ideal mix 

message: It may be worth noting that the probability distribution given in the article is only true for the end-to-end vector in the thermodynamic limit. The exact solution is dimension-dependent and can only be given as a series solution. See Yamakawa 'Modern Theory of Polymer Solutions' (1971, Harper and Row) for the complete derivation. ScottRShannon 02:06, 24 April 2006 (UTC)
replies: text: The thermodynamic limit thing is mentioned in the article from my former incarnate Stacy333 (talk) 14:50, 22 May 2008 (UTC)
thread_title:  Probability distribution 

message: There was a small issue with the change in thermodynamical ensemble at the very end of the article. In the "fixed force" ensemble, it's a mean end-to-end vector, but it's not a mean force, the force is fixed by the operator as  \vec f_{op} . I had to come back with my previous account, since stacy can not (yet?) upload images. The image also had to be corrected in the same way. Sorry about that mistake from a few years ago. ThorinMuglindir (talk) 15:34, 22 May 2008 (UTC)
replies: text: had to correct again because I had created a consistency issue, having defined  \vec f_{op}  as the opposite of  \vec f  in an earlier chapter. Everything should be consistent and correct now. The thing is, when you go for the length reservoir approach, you assume that force is constant and does not fluctuate.ThorinMuglindir (talk) 18:45, 22 May 2008 (UTC)
thread_title:  issue corrected 

message: The third ensemble is missing: See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1303618/pdf/3418.pdf ,  https://journals.aps.org/pra/abstract/10.1103/PhysRevA.34.3486  — Preceding unsigned comment added by 129.69.120.91 (talk) 07:25, 10 December 2018 (UTC)
thread_title:  Constant |r| ensemble 

message: However, since the components of the vectors \vec r_1,\ldots ,\vec r_N are uncorrelated for the random walk we are considering,
This is completely wrong.  The components are correlated, since |rᵢ| is fixed.  The correlation disappears only in the limit of infinitely many links. --Ilya-zz (talk) 10:16, 17 August 2020 (UTC)
thread_title:  Correlations