Abstract
The theory of Brownian motion in an inhomogeneous fluid is discussed within the framework of the method of one of the authors (DNZ) for the construction of the distribution function for a nonequilibrium system. The Fokker-Planck equation is derived where the temperature gradient in the left hand part is considered as an “external force”. An extra term in the right hand part with the kinetic coefficient η reflects an additional dissipation effect ∼∇T. The transport equation for Brownian particles with a diffusion coefficient D = kT ζ and thermodiffusion coefficients D T = n B kT( 1 + η kT ) ζ is also obtained, where ζ isthe friction coefficient and n B is the number density of Brownian particles.
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