The Ludwig–Soret effect and stochastic processes

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Bibliographic Details
Title: The Ludwig–Soret effect and stochastic processes
Authors: Debbasch, F.1 fabrice.debbasch@gmail.com, Rivet, J.P.2
Source: Journal of Chemical Thermodynamics. Mar2011, Vol. 43 Issue 3, p300-306. 7p.
Subjects: Stochastic models, Heat transfer, Friction, Calculus of tensors, Transport theory, Thermal expansion, Fokker-Planck equation
Abstract: Abstract: New general stochastic models of thermodiffusion are proposed, which include velocity-dependent friction coefficient and noise tensor. These coefficients are computed exactly from the Boltzmann equation for the particular case of thermodiffusion in dilute gas mixtures. The Soret coefficients predicted by the new thermodiffusion models are computed via a Chapman–Enskog expansion and compared favorably to predictions of earlier models. In particular, the new models can accommodate for Soret coefficients of both signs, as observed experimentally. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Abstract: New general stochastic models of thermodiffusion are proposed, which include velocity-dependent friction coefficient and noise tensor. These coefficients are computed exactly from the Boltzmann equation for the particular case of thermodiffusion in dilute gas mixtures. The Soret coefficients predicted by the new thermodiffusion models are computed via a Chapman–Enskog expansion and compared favorably to predictions of earlier models. In particular, the new models can accommodate for Soret coefficients of both signs, as observed experimentally. [ABSTRACT FROM AUTHOR]
ISSN:00219614
DOI:10.1016/j.jct.2010.09.010