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arXiv · 1409.6966

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.

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Debasish Chaudhuri, Archishman Raju, Abhishek Dhar. 2015-06-24. Pumping single-file colloids: Absence of current reversal. https://doi.org/10.1103/physreve.91.050103

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