Small-World Rouse Networks as models of cross-linked polymers
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Abstract
We use the recently introduced small-world networks (SWN) to model cross-linked polymers, as an extension of the linear Rouse-chain. We study the SWN-dynamics under the influence of external forces. Our focus is on the structurally and thermally averaged SWN stretching, which we determine both numerically and analytically using a psudo-gap ansatz for the SWN-density of states. The SWN stretching is related to the probability of a random-walker to return to its origin on the SWN. We compare our results to the corresponding ones for Cayley trees.
Cite
@article{arxiv.cond-mat/0004392,
title = {Small-World Rouse Networks as models of cross-linked polymers},
author = {S. Jespersen and I. M. Sokolov and A. Blumen},
journal= {arXiv preprint arXiv:cond-mat/0004392},
year = {2009}
}
Comments
14 pages, 4 figures. Preprint version, submitted to JCP