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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Published in | The Journal of chemical physics Vol. 141; no. 14; p. 144101 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
United States
14.10.2014
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Online Access | Get more information |
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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)]. |
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ISSN: | 1089-7690 |
DOI: | 10.1063/1.4897250 |