English

Pumping single-file colloids: Absence of current reversal

Statistical Mechanics 2015-06-25 v2 Soft Condensed Matter

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.

Keywords

Cite

@article{arxiv.1409.6966,
  title  = {Pumping single-file colloids: Absence of current reversal},
  author = {Debasish Chaudhuri and Archishman Raju and Abhishek Dhar},
  journal= {arXiv preprint arXiv:1409.6966},
  year   = {2015}
}

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published version

R2 v1 2026-06-22T06:04:47.633Z