Small-World Rouse Networks as models of cross-linked polymers

Details Small-World Rouse Networks as models of cross-linked polymers Small-World Rouse Networks as models of cross-linked polymers

2000-04-24

arxiv.org/abs/cond-mat/0004392v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 4 figures. Preprint version, submitted to JCP

Scientific paper

10.1063/1.1312277

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.

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