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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3751

Title: Particle current in a symmetric exclusion process with time-dependent hopping rates
Authors: Marathe, Rahul
Jain, Kavita
Dhar, Abhishek
Keywords: driven diffusive systems (theory)
stochastic particle dynamics (theory)
Issue Date: 14-Nov-2008
Publisher: IOP Publishing Ltd.
Citation: Journal of Statistical Mechanics: Theory and Experiment, 2008, p11014
Abstract: 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 in inverse proportion 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.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/3751
ISSN: 1742-5468 (Online)
Alternative Location: http://arxiv.org/abs/0809.2468
Copyright: 2008 IOP Publishing Ltd.
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