Integral formula for the effective diffusion coefficient in two-dimensional channels

Autor:	Pavol Kalinay
Rok vydání:	2016
Předmět:	Physics 010304 chemical physics Mathematical analysis Function (mathematics) 01 natural sciences Transverse plane Cross section (physics) 0103 physical sciences Effective diffusion coefficient Integral formula Diffusion (business) 010306 general physics Scaling Communication channel
Zdroj:	Physical Review E. 94
ISSN:	2470-0053 2470-0045
Popis:	The effective one-dimensional description of diffusion in two-dimensional channels of varying cross section is revisited. The effective diffusion coefficient D(x), extending Fick-Jacobs equation, depending on the longitudinal coordinate x, is derived here without use of scaling of the transverse coordinates. The result of the presented method is an integral formula for D(x), calculating its value at x as an integral of contributions from the neighboring positions x^{'} depending on h(x^{'}), a function shaping the channel. Unlike the standard formulas based on the scaling, the new proposed formula also describes D(x) correctly near the cusps, or in wider channels.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f379810fe45d471862e04be1a181ed5 https://doi.org/10.1103/physreve.94.012102 Zobrazit plný text záznamu