IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Biased diffusion of Brownian particles confined by a periodic potential

  • Sept. 18, 2012
  • 2:30 p.m.
  • LeConte 312


This work is motivated by novel separation strategies in microfluidic devices by taking advantage of the unprecedented control on geometry and chemistry of the stationary phase at scales that are comparable to the size of the transported species. Here we consider the transport of Brownian particles confined to a channel of periodically varying cross section, but the confinement is induced by a potential energy landscape instead of the solid boundaries of a channel. Asymptotic are mainly used to study two transport properties: average velocity and effective diffusivity in a narrow channel or weakly corrugated channel. The results show that leading order solution is equivalent to that obtained from the Fick-Jacobs approximation. Also higher order solutions are solved. The asymptotic results agree well with Brownian Dynamics simulations for transport properties over a wide a range of Peclet numbers.

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