Generalized Einstein relation for the mutual diffusion coefficient of a binary fluid mixture
Abstract
The method employed by Einstein to derive his famous relation between the diffusion coefficient and the friction coefficient of a Brownian particle is used to derive a generalized Einstein relation for the mutual diffusion coefficient of a binary fluid mixture. The expression is compared with the one derived by de Groot and Mazur from irreversible thermodynamics, and later by Batchelor for a Brownian suspension. A different result was derived by several other workers in irreversible thermodynamics. For a nearly incompressible solution the generalized Einstein relation agrees with the expression derived by de Groot and Mazur. The two expressions also agree to first order in solute density. For a Brownian suspension the result derived from the generalized Smoluchowski equation agrees with both expressions.
Cite
@article{arxiv.1707.00423,
title = {Generalized Einstein relation for the mutual diffusion coefficient of a binary fluid mixture},
author = {B. U. Felderhof},
journal= {arXiv preprint arXiv:1707.00423},
year = {2017}
}
Comments
18 pages, 3 figures