Scaling in the Rubinstein-Duke Model for Reptation

Details Scaling in the Rubinstein-Duke Model for Reptation Scaling in the Rubinstein-Duke Model for Reptation

2004-09-17

arxiv.org/abs/cond-mat/0409473v1

Physics

Condensed Matter

Statistical Mechanics

4 Pages RevTeX and 3 PostScript figures included

Scientific paper

We consider an arbitrarily charged polymer driven by a weak field through a gel according to the rules of the Rubinstein-Duke model. The probability distribution in the stationary state is related to that of the model in which only the head is charged. Thereby drift velocity, diffusion constant and orientation of any charged polymers are expressed in terms of those of the central model. Mapping the problem on a random walk of a tagged particle along a one-dimenional chain, leads to a unified scaling expression for the local orientation. It provides also an elucidation of the role of corrections to scaling.

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