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

References in corpus (2)

• Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
• Two simple models of classical heat pumps

Cited by in corpus (5)

• Directed flow in non-adiabatic stochastic pumps
• The stochastic pump current and the non-adiabatic geometrical phase
• Stochastic pump of interacting particles
• Particle current in symmetric exclusion process with time-dependent hopping rates
• Bimodal response in periodically driven diffusive systems