Stochastic pump of interacting particles

Abstract

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase relations generate time-averaged directed current of particles. We obtain analytic results for a lattice version of the model using a recently developed perturbative approach. Many interesting features like particle-hole symmetry, current reversal with changing density, and system-size dependence of current are obtained. We propose possible experiments to test our predictions.

4 pages, 2 figures

References in corpus (3)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Driving particle current through narrow channels using classical pump
• Particle current in symmetric exclusion process with time-dependent hopping rates