English

Diffusion coefficient for reptation of polymers with kinematic disorder

Soft Condensed Matter 2009-11-07 v2 Statistical Mechanics

Abstract

We give a lower bound on the diffusion coefficient of a polymer chain in an entanglement network with kinematic disorder, which is obtained from an exact calculation in a modified Rubinstein-Duke lattice gas model with periodic boundary conditions. In the limit of infinite chain length we show the diffusive motion of the polymer to be slowed down by kinematic disorder by the same factor as for a single particle in a random barrier model.

Keywords

Cite

@article{arxiv.cond-mat/0107461,
  title  = {Diffusion coefficient for reptation of polymers with kinematic disorder},
  author = {Richard D. Willmann},
  journal= {arXiv preprint arXiv:cond-mat/0107461},
  year   = {2009}
}

Comments

8 pages, 2 figures, revised text, journal ref. added

R2 v1 2026-07-22T10:25:04.564Z