One-dimensional description of driven diffusion in periodic channels

Autor:	Pavol Kalinay
Rok vydání:	2017
Předmět:	Physics Mathematical analysis Function (mathematics) Space (mathematics) 01 natural sciences 010305 fluids & plasmas Transverse plane 0103 physical sciences Range (statistics) Diffusion (business) 010306 general physics Constant (mathematics) Scaling Communication channel
Zdroj:	Physical Review E. 96
ISSN:	2470-0053 2470-0045
Popis:	Diffusion of point-like particles driven by a constant longitudinal force in two-dimensional channels of periodically varying width is studied. The dynamics of such systems can be effectively described by the one-dimensional Smoluchowski(-Fick-Jacobs) equation in the longitudinal coordinate $x$, extended by a space dependent effective diffusion coefficient $D(x)$. Our paper is focused on calculation of this function for an arbitrary channel shaping function $h(x)$. Unlike the previous algorithms based on scaling of the transverse lengths, the method presented here uses periodicity of the channel. Instead of complicated expansion containing higher order derivatives of $h(x)$, the proposed algorithm results in an integral formula for $D(x)$, enabling us to study the system for wide range of the driving force and various (periodic) shaping functions $h(x)$.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75133bfaad5f63278bac23664475fd00 https://doi.org/10.1103/physreve.96.042157 Zobrazit plný text záznamu