Phase Transitions in Brownian Pumps

Abstract

We study stochastic particle transport between two reservoirs along a channel, where the particles are pumped against a bias by a traveling wave potential. It is shown that phase transitions of period-averaged densities or currents occur inside the channel when exclusion interactions between the particles are taken into account. These transitions reflect those known for the asymmetric simple exclusion process (ASEP). We argue that their occurrence is a generic feature of Brownian motors operating in open systems.

4 pages, 3 figures

References in corpus (7)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Phase Coexistence in Driven One Dimensional Transport
• Traffic of molecular motors through tube-like compartments
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• Driving particle current through narrow channels using classical pump
• Stochastic pump of interacting particles

Cited by in corpus (5)

• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Pumping single-file colloids: Absence of current reversal
• Superballistic center-of-mass motion in one-dimensional attractive Bose gases: Decoherence-induced Gaussian random walks in velocity space
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Current reversals in driven lattice gases and Brownian motion