Diffusion in fluids with large mean free paths: Non-classical behavior between Knudsen and Fickian limits

G.L. Aranovich and M.D. Donohue

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 17, 3355-3370

Abstract: Diffusion in fluids is analyzed at non-classical conditions, intermediate between the Knudsen and Fickian limits. The fluid is considered in the framework of the Einstein’s diffusion evolution equation involving expansions of the density distribution in powers of displacement and time. The standard truncation of these expansions results in the classical model of diffusion; however, higher-order terms lead to a departure from classical behavior. This has not been studied or discussed adequately in the literature previously.

Keywords: Fluids between Knudsen and Fickian limits; Deviations from classical behavior; Transitions between directional flows and molecular chaos (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:17:p:3355-3370

DOI: 10.1016/j.physa.2009.05.012

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