Abstract:
Brownian motion in a fluid with a temperature gradient is investigated by using Luttinger's
method of introducing auxiliary external fields. The Einstein relation for the diffusion coefficient
$D=kT/\zeta$ and a similar relation for the thermal diffusion coefficient $D_\mathrm T=\displaystyle n_\sigma kT\frac{1+\eta/kT}{\zeta}$ are obtained ($n_\sigma$ is the density of the Brownian particles, $\zeta$ is the friction constant, and $\eta$ is the heat drag coefficient of the Brownian particles). The expressions obtained are compared with the results of other works on diffusion of Brownian particles in a fluid with a temperature gradient.
Citation:
A. G. Bashkirov, “Statistical theory of thermal diffusion of Brownian particles”, TMF, 1:2 (1969), 275–280; Theoret. and Math. Phys., 1:2 (1969), 213–216
\Bibitem{Bas69}
\by A.~G.~Bashkirov
\paper Statistical theory of thermal diffusion of Brownian particles
\jour TMF
\yr 1969
\vol 1
\issue 2
\pages 275--280
\mathnet{http://mi.mathnet.ru/tmf4569}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 2
\pages 213--216
\crossref{https://doi.org/10.1007/BF01028047}
Linking options:
https://www.mathnet.ru/eng/tmf4569
https://www.mathnet.ru/eng/tmf/v1/i2/p275
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