Stochastic models of classical particle pumps : Density dependence of directed current

Chaudhuri, Debasish (2015) Stochastic models of classical particle pumps : Density dependence of directed current. Journal of Physics: Conference Series, 638 (1). ISSN 1742-6588

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We present and compare different versions of a simple particle pump-model that describes average directed current of repulsively interacting particles in a narrow channel, due to time-varying local potentials. We analyze the model on discrete lattice with particle exclusion, using three choices of potential-dependent hopping rates that obey microscopic reversibility. Treating the strength of the external potential as a small parameter with respect to thermal energy, we present a perturbative calculation to obtain the expression for average directed current. This depends on driving frequency, phase, and particle density. The directed current vanishes as density goes to zero or close packing. For two choices of hopping rates, it reaches maximum at intermediate densities, while for a third choice, it shows a curious current reversal with increasing density. This can be interpreted in terms of a particle-hole symmetry. Stochastic simulations of the model show good agreement with our analytic predictions.

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IITH Creators:
IITH CreatorsORCiD
Chaudhuri, DebasishUNSPECIFIED
Item Type: Article
Additional Information: The author thanks Abhishek Dhar for numerous discussions, and a collaboration on related topics which led to the publication.
Uncontrolled Keywords: Ionic conduction; Stochastic systems Driving frequencies; Interacting particles; Intermediate densities; Microscopic reversibility; Particle densities; Perturbative calculations; Potential-dependent; Stochastic simulations
Subjects: Physics
Divisions: Department of Physics
Depositing User: Team Library
Date Deposited: 12 Nov 2015 08:59
Last Modified: 30 Aug 2017 10:58
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