title: Diffusion in periodic two-dimensional channels formed by overlapping circles: comparison of analytical and numerical results.
abstract: We study two-dimensional diffusion in a channel formed by periodic overlapping circles. Periodic variation of the channel width leads to the slowdown of diffusion along the channel axis. There are several approximate approaches, which allow one to analyze the slowdown. We use these approaches to derive five expressions for the effective diffusion coefficient of a point Brownian particle in the channel. To check the accuracy of the expressions we compare their predictions with the effective diffusion coefficient obtained from Brownian dynamics simulations.
authors.affiliation: Departamento de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, Mexico, 09340 Distrito Federal, Mexico.
authors.forename: Inti
authors.initials: I
authors.lastname: Pineda
authors.forename: Marco-Vinicio
authors.initials: MV
authors.lastname: Vazquez
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Berezhkovskii
authors.forename: Leonardo
authors.initials: L
authors.lastname: Dagdug
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical