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Pumping single-file colloids: Absence of current reversal

Debasish Chaudhuri, Archishman Raju, and Abhishek Dhar
Phys. Rev. E 91, 050103(R) – Published 20 May 2015

Abstract

We consider the single-file motion of colloidal particles interacting via short-range 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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  • Received 23 October 2014
  • Revised 27 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.050103

©2015 American Physical Society

Authors & Affiliations

Debasish Chaudhuri1,*, Archishman Raju2, and Abhishek Dhar3,†

  • 1Indian Institute of Technology, Hyderabad, Yeddumailaram 502205, Andhra Pradesh, India
  • 2Department of Physics, Cornell University, Ithaca, New York 14853, USA
  • 3International Centre for Theoretical Sciences, TIFR, IISc Campus, Bangalore 560012, India

  • *debc@iith.ac.in
  • abhishek.dhar@icts.res.in

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Issue

Vol. 91, Iss. 5 — May 2015

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