Projection of two-dimensional diffusion in a narrow channel onto the longitudinal dimension

P. Kalinay, Jerome Percus

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Abstract

Diffusion in a narrow two-dimensional channel of width A (x), depending on the longitudinal coordinate x, is the object of our study. We show how the 2+1 dimensional diffusion equation can be projected onto a 1+1 dimensional one, governing corresponding one-dimensional density, in a steady-state approximation. Then we demonstrate the method on a nontrivial exactly solvable case for A (x) =x and discuss projection of the initial condition.

Original languageEnglish (US)
Article number204701
JournalJournal of Chemical Physics
Volume122
Issue number20
DOIs
Publication statusPublished - May 22 2005

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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