Abstract
We study the short-time and long-time self-diffusion coefficients for a system of interacting, spherical Brownian particles. To first order in the volume fraction occupied by particles, the coefficients are given by exact expressions, first derived by Batchelor [J. Fluid Mech. 83, 97 (1976); 131, 155 (1983); 137, 467 (1983)]. We show that the expression for the long-time self-diffusion coefficient may be cast in a different form by use of a dielectric analogy. The new expression turns out to be advantageous in practical calculations and in qualitative considerations.
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