title: Unbiased diffusion in tubes with corrugated walls.
abstract: This study is devoted to unbiased motion of a point Brownian particle in a tube with corrugated walls made of conical sections of a varying length. Effective one-dimensional description in terms of the generalized Fick-Jacobs equation is used to derive a formula which gives the effective diffusion coefficient of the particle as a function of the geometric parameters of the tube. Comparison with the results of Brownian dynamics simulations allows us to establish the domain of applicability of both the one-dimensional description and the formula for the effective diffusion coefficient.
authors.affiliation: Departamento de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, 09340 Mexico DF, Mexico.
authors.forename: Leonardo
authors.initials: L
authors.lastname: Dagdug
authors.forename: Marco-Vinicio
authors.initials: MV
authors.lastname: Vazquez
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Berezhkovskii
authors.forename: Sergey M
authors.initials: SM
authors.lastname: Bezrukov
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical