Abstract
A model suitable for reptation in linear systems under a driving field is proposed. Its dynamics is based on the decoupling of opposite repton jumps, and is essentially different from reptation in higher dimensions, namely the Rubinstein-Duke model (RDM). The stationary density and correlation functions are calculated perturbatively in the driving field. A meaningful mean field theory is also derived. Diffusion exhibits a strong drift velocity and band collapse. Also a peculiar scaling behavior is found. The results address the sensitivity of reptation process to the rules of motion and the boundary conditions.
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