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Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder
Richard D Willmann1, Gunter M Schütz, Kavita Jain
1Institut für Festkörperforschung, Forschungszentrum Jülich, Germany. r.willmann@fz-juelich.de
Abstract:
Using a generalized Rubinstein-Duke model, we prove rigorously that kinematic disorder leaves the prediction of the standard reptation theory for the scaling of the diffusion constant in the limit for long polymer chains D proportional to L(-2) unaffected. Based on an analytical calculation as well as on 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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