Driving particle current through narrow channels using classical pump

Abstract

We study a symmetric exclusion process in which the hopping rates at two chosen adjacent sites vary periodically in time and have a relative phase difference. This mimics a colloidal suspension subjected to external space and time dependent modulation of the diffusion constant. The two special sites act as a classical pump by generating an oscillatory current with a nonzero $\mathcal{D}\mathcal{C}$ value whose direction depends on the applied phase difference. We analyze various features in this model through simulations and obtain an expression for the $\mathcal{D}\mathcal{C}$ current via a novel perturbative treatment.

Revised version

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Cited by in corpus (21)

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• Directed flow in non-adiabatic stochastic pumps
• Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
• The stochastic pump current and the non-adiabatic geometrical phase
• Current and fluctuation in a two-state stochastic system under non-adiabatic periodic perturbation
• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Stochastic pump of interacting particles
• 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
• Particle current in symmetric exclusion process with time-dependent hopping rates
• Collective transport of weakly interacting molecular motors with Langmuir kinetics
• Phase Transitions in Brownian Pumps
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• Symmetric exclusion processes on a ring with moving defects
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Direct numerical method for counting statistics in stochastic processes
• Bimodal response in periodically driven diffusive systems
• 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