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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 http://dx.doi.org/10.1088/1742-5468/2008/11/P11014 |
Copyright: | 2008 IOP Publishing Ltd. |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2008 J Stat Mech_11_P11014.pdf Restricted Access | 14p. | 555.18 kB | Adobe PDF | View/Open Request a copy |
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