title: Corrections to the Fick-Jacobs equation.
abstract: Diffusion in a quasi-one-dimensional channel, with cross section varying along the longitudinal coordinate, is considered. Using a rigorous mapping of the diffusion equation onto one dimension, eliminating transients in transverse direction(s), we derive an expansion of the effective diffusion coefficient D(x), which represents corrections to the Fick-Jacobs equation.
authors.affiliation: Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovak Republic.
authors.forename: P
authors.initials: P
authors.lastname: Kalinay
authors.forename: J K
authors.initials: JK
authors.lastname: Percus