Particle current in a symmetric exclusion process with time-dependent hopping rates
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.
- Publication:
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Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- November 2008
- DOI:
- 10.1088/1742-5468/2008/11/P11014
- arXiv:
- arXiv:0809.2468
- Bibcode:
- 2008JSMTE..11..014M
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 17 pages, 2 figures