Long-time dynamics of de Gennes' model for reptation
Condensed Matter
2009-10-31 v1
Abstract
Diffusion of a polymer in a gel is studied within the framework of de Gennes' model for reptation. Our results for the scaling of the diffusion coefficient D and the longest relaxation time tau are markedly different from the most recently reported results, and are in agreement with de Gennes' reptation arguments: D ~ 1/N^2 and tau ~ N^3. The leading exponent of the finite-size corrections to the diffusion coefficient is consistent with the value of -2/3 that was reported for the Rubinstein model. This agreement suggests that its origin might be physical rather than an artifact of these models.
Cite
@article{arxiv.cond-mat/9807092,
title = {Long-time dynamics of de Gennes' model for reptation},
author = {G. T. Barkema and H. M. Krenzlin},
journal= {arXiv preprint arXiv:cond-mat/9807092},
year = {2009}
}
Comments
5 pages, 5 figures, submitted to J. Chem. Phys