Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 137, Issue 17, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4761826
Keywords
Brownian motion; diffusion; geometry; numerical analysis
Funding
- CONACyT [176452]
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This study is devoted to the unbiased motion of a point-like Brownian particle in two-dimensional tilted asymmetric channels of varying width formed by straight walls. An effective one-dimensional description in terms of the generalized Fick-Jacobs equation is used to derive formulas that yield the particle's effective diffusion coefficient as a function of the geometric parameters of the channel. To such end, we use the formulas obtained by Bradley [Phys. Rev. E 80, 061142 (2009)] and by Dagdug and Pineda [J. Chem. Phys. 137, 024107 (2012)] to study two-dimensional diffusion in narrow and smoothly asymmetric channels of varying width. Comparison with Brownian dynamics simulation results allows us to establish the domain of applicability of both the one-dimensional description and the effective diffusion coefficient formulas. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4761826]
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