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- W2010094164 abstract "The problem of diffusion of a Brownian particle in a liquid under the influence of an exterior field, taking into account thermal effects, as given by Streater [1–3], is reformulated for the case in which the thermal conductivity coefficient is nonhomogeneous. This modified formulation is applied to the description of diffusion in a liquid filling a porous medium. Macroscopic equations of Brownian diffusion for that case are obtained using the two-scale asymptotic method. As a result, in the macroscopic diffusion equation the friction term is absent, and the external force appears explicitly as a heat production term only; implicitly the drift force is found in the first correction f (1) in the asymptotic expansion of distribution function f." @default.
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- W2010094164 date "1999-08-01" @default.
- W2010094164 modified "2023-09-27" @default.
- W2010094164 title "On nonlinear heat equations and diffusion in porous media" @default.
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- W2010094164 doi "https://doi.org/10.1016/s0034-4877(99)80171-2" @default.
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