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

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Cited by in corpus (14)

• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Interacting particles in a periodically moving potential: Traveling wave and transport
• Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states
• Pumping single-file colloids: Absence of current reversal
• Collective transport of weakly interacting molecular motors with Langmuir kinetics
• Phase Transitions in Brownian Pumps
• Stochastic ratcheting of two dimensional colloids : Directed current and dynamical transitions
• Current reversal in interacting colloids under time-periodic drive
• Symmetric exclusion processes on a ring with moving defects
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Interacting Particles in Disordered Flashing Ratchets
• Current reversals in driven lattice gases and Brownian motion
• Stochastic models of classical particle pumps : Density dependence of directed current
• Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters