title: Range of applicability of modified Fick-Jacobs equation in two dimensions.
abstract: Axial diffusion in a two-dimensional channel of smoothly varying geometry can be approximately described as one-dimensional diffusion in the entropy potential with position-dependent effective diffusivity by means of the modified Fick-Jacobs equation. In this paper, Brownian dynamics simulations are used to study the range of applicability of such a description, as well as the accuracy of the expressions for the effective diffusivity proposed by different researchers.
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: 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: Leonardo
authors.initials: L
authors.lastname: Dagdug
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: D000465:Algorithms; D004058:Diffusion; D019277:Entropy; D008956:Models, Chemical; D056004:Molecular Dynamics Simulation