Volume 80, Number 5, December 2007
|Number of page(s)||5|
|Published online||02 November 2007|
Force-driven transport through periodic entropy barriers
Department of Chemical Engineering and Materials Science, University of Minnesota - Twin Cities 421 Washington Ave. SE, Minneapolis, MN 55455, USA
2 Faculty of Mechanical Engineering, Technion, Israel Institute of Technology - Technion City 32000, Israel
Accepted: 11 October 2007
We analyze the transport of a point-size Brownian particle under the influence of a constant and uniform force field through a slowly varying periodic channel whose cross-sectional area variations represent effective “entropy barriers.” Using generalized Taylor-Aris dispersion (macrotransport) theory for spatially periodic media, we compute the mean velocity and effective diffusion coefficient (dispersivity) describing the long-time global transport of the particle. Systematic asymptotic perturbation analysis illuminates the transport process occurring in the strong-field limit, notably the role of the mean-squared channel roughness. The results thus obtained compare favorably with Brownian dynamics simulations over the full range of driving forces.
PACS: 05.60.Cd – Classical transport / 02.50.Ey – Stochastic processes / 05.40.Jc – Brownian motion
© Europhysics Letters Association, 2007
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