Force-Extension Relations for Polymers with Sliding Links
统计力学
2009-11-07 v1
摘要
Topological entanglements in polymers are mimicked by sliding rings (slip-links) which enforce pair contacts between monomers. We study the force-extension curve for linear polymers in which slip-links create additional loops of variable size. For a single loop in a phantom chain, we obtain exact expressions for the average end-to-end separation: The linear response to a small force is related to the properties of the unstressed chain, while for a large force the polymer backbone can be treated as a sequence of Pincus--de Gennes blobs, the constraint effecting only a single blob. Generalizing this picture, scaling arguments are used to include self-avoiding effects.
引用
@article{arxiv.cond-mat/0206057,
title = {Force-Extension Relations for Polymers with Sliding Links},
author = {Ralf Metzler and Yacov Kantor and Mehran Kardar},
journal= {arXiv preprint arXiv:cond-mat/0206057},
year = {2009}
}
备注
4 pages, 5 figures; accepted to Phys. Rev. E (Brief Report)