title: Unbiased diffusion in two-dimensional channels with corrugated walls.
abstract: This paper deals with diffusion of point particles in linearly corrugated two-dimensional channels. Such geometry allows one to obtain an approximate analytical expression that gives the particle effective diffusivity as a function of the geometric parameters of the channel. To establish its accuracy and the range of applicability, the expression is tested against Brownian dynamics simulation results. The test shows that the expression works very well for long channel periods, but fails when the period is not long enough compared to the minimum width of the channel. To fix this deficiency, we propose a simple empirical correction to the analytical expression. The resulting corrected expression for the effective diffusivity is in excellent agreement with the simulation results for all values of the channel period.
authors.affiliation: Physics Department, Universidad Autonoma Metropolitana-Iztapalapa, 09340 Mexico City, Mexico.
authors.forename: Roberto
authors.initials: R
authors.lastname: Verdel
authors.affiliation: Physics Department, Universidad Autonoma Metropolitana-Iztapalapa, 09340 Mexico City, Mexico.
authors.forename: Leonardo
authors.initials: L
authors.lastname: Dagdug
authors.affiliation: Mathematical and Statistical Computing Laboratory, Division for Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA.
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Berezhkovskii
authors.affiliation: Program in Physical Biology, Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, Maryland 20892, USA.
authors.forename: Sergey M
authors.initials: SM
authors.lastname: Bezrukov
mesh_terms: D004058:Diffusion; D019277:Entropy; D010316:Particle Size