REPTATION IN LINEAR-SYSTEMS

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