Extended Fick-Jacobs equation: Variational approach

P. Kalinay; J. K. Percus

doi:10.1103/PhysRevE.72.061203

Extended Fick-Jacobs equation: Variational approach

P. Kalinay, J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We derive an extended Fick-Jacobs equation for the diffusion of noninteracting particles in a two- and symmetric three-dimensional channels of varying cross section A (x), using a variational approach. The result is a diffusion differential equation of second order in only one space (longitudinal) coordinate. This equation is tested on the task of calculating the stationary flux through a hyperboloidal tube, and its solution is compared with that of other methods.

Original language	English (US)
Article number	061203
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	72
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.72.061203
State	Published - Dec 2005

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.72.061203

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abstract = "We derive an extended Fick-Jacobs equation for the diffusion of noninteracting particles in a two- and symmetric three-dimensional channels of varying cross section A (x), using a variational approach. The result is a diffusion differential equation of second order in only one space (longitudinal) coordinate. This equation is tested on the task of calculating the stationary flux through a hyperboloidal tube, and its solution is compared with that of other methods.",

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Extended Fick-Jacobs equation: Variational approach

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