paper

Exact Solution for a 1-dimensional model for Reptation

arXiv:cond-mat/0602493 · doi:10.1103/PhysRevE.73.051801

Abstract

We discuss the exact solution for the properties of the recently introduced ``necklace'' model for reptation. The solution gives the drift velocity, diffusion constant and renewal time for asymptotically long chains. Its properties are also related to a special case of the Rubinstein-Duke model in one dimension.

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