Journal
EPL
Volume 80, Issue 5, Pages -Publisher
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/80/50009
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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. Copyright (C) EPLA, 2007.
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