Pumping single-file colloids: Absence of current reversal

Abstract

We consider the single-file motion of colloidal particles interacting via short-ranged repulsion and placed in a traveling wave potential, that varies periodically in time and space. Under suitable driving conditions, a directed time-averaged flow of colloids is generated. We obtain analytic results for the model using a perturbative approach to solve the Fokker-Planck equations. The predictions show good agreement with numerical simulations. We find peaks in the time-averaged directed current as a function of driving frequency, wavelength and particle density and discuss possible experimental realizations. Surprisingly, unlike a closely related exclusion dynamics on a lattice, the directed current in the present model does not show current reversal with density. A linear response formula relating current response to equilibrium correlations is also proposed.

arXiv commentpublished version

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Cited by in corpus (9)

• Non-Gaussian noise without memory in active matter
• Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
• Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Current reversal in interacting colloids under time-periodic drive
• Symmetric exclusion processes on a ring with moving defects
• Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters
• Current reversals in driven lattice gases and Brownian motion
• Stochastic models of classical particle pumps : Density dependence of directed current