Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder

Details Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder

2003-01-20

arxiv.org/abs/cond-mat/0301348v1

Physics

Condensed Matter

Soft Condensed Matter

29 pages, 3 figures, submitted to PRE

Scientific paper

10.1103/PhysRevE.67.061806

Using a generalized Rubinstein-Duke model we prove rigorously that kinematic disorder leaves the prediction of standard reptation theory for the scaling of the diffusion constant in the limit for long polymer chains $D \propto L^{-2}$ unaffected. Based on an analytical calculation as well as Monte Carlo simulations we predict kinematic disorder to affect the center of mass diffusion constant of an entangled polymer in the limit for long chains by the same factor as single particle diffusion in a random barrier model.

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