Particle current in symmetric exclusion process with time-dependent hopping rates

Details Particle current in symmetric exclusion process with time-dependent hopping rates Particle current in symmetric exclusion process with time-dependent hopping rates

2008-09-15

arxiv.org/abs/0809.2468v2

J. Stat. Mech. (2008) P11014

Physics

Condensed Matter

Statistical Mechanics

17 pages, 2 figures

Scientific paper

10.1088/1742-5468/2008/11/P11014

In a recent study, (Jain et al 2007 Phys. Rev. Lett. 99 190601), a symmetric exclusion process with time-dependent hopping rates was introduced. Using simulations and a perturbation theory, it was shown that if the hopping rates at two neighboring sites of a closed ring vary periodically in time and have a relative phase difference, there is a net DC current which decreases inversely with the system size. In this work, we simplify and generalize our earlier treatment. We study a model where hopping rates at all sites vary periodically in time, and show that for certain choices of relative phases, a DC current of order unity can be obtained. Our results are obtained using a perturbation theory in the amplitude of the time-dependent part of the hopping rate. We also present results obtained in a sudden approximation that assumes large modulation frequency.

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