Effective diffusion coefficient in 2D periodic channels

Calculation of the effective diffusion coefficient D(x), depending on the longitudinal coordinate x in 2D channels with periodically corrugated walls, is revisited. Instead of scaling the transverse lengths and applying the standard homogenization techniques, we propose an algorithm based on formula...

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Bibliographic Details
Published inThe Journal of chemical physics Vol. 141; no. 14; p. 144101
Main Author Kalinay, Pavol
Format Journal Article
LanguageEnglish
Published United States 14.10.2014
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Summary:Calculation of the effective diffusion coefficient D(x), depending on the longitudinal coordinate x in 2D channels with periodically corrugated walls, is revisited. Instead of scaling the transverse lengths and applying the standard homogenization techniques, we propose an algorithm based on formulation of the problem in the complex plane. A simple model is solved to explain the behavior of D(x) in the channels with short periods L, observed by Brownian simulations of Dagdug et al. [J. Chem. Phys. 133, 034707 (2010)].
ISSN:1089-7690
DOI:10.1063/1.4897250