title: Analytical estimates of free brownian diffusion times in corrugated narrow channels.
abstract: The diffusion of a suspended brownian particle along a sinusoidally corrugated narrow channel is investigated to assess the validity of two competing analytical schemes, both based on effective one-dimensional kinetic equations, one continuous (entropic channel scheme) and the other discrete (random walker scheme). For narrow pores, the characteristic diffusion time scale is represented by the mean first exit time out of a channel compartment. Such a diffusion time has been analytically calculated in both approximate schemes; the two analytical results coincide in leading order and are in excellent agreement with the simulation data.
authors.affiliation: Dipartimento di Fisica, Università di Camerino, I-62032 Camerino, Italy.
authors.forename: Leone
authors.initials: L
authors.lastname: Bosi
authors.forename: Pulak K
authors.initials: PK
authors.lastname: Ghosh
authors.forename: Fabio
authors.initials: F
authors.lastname: Marchesoni