✦ LIBER ✦

Generalized diffusion equation of interacting brownian particles

✍ Scribed by Toshiya Ohtsuki

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 376 KB
Volume: 98
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(83)87110-3

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✦ Synopsis

Macroscopic behavior of a system of brownian particles interacting with each other through potential forces is described by a generalized diffusion equation (GDE) for the density of particles. The diffusion coefficient in the GDE is given by the generalized Stokes-Einstein relation and generally depends on the density. In the presence of long-range interactions, the GDE becomes non-local in space. When a Coulomb interaction exists, the GDE corresponds to an improvement of the Poisson-Boltzmann equation.

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Tenjin 4-chome, Chuo-ku. Fukuoka 810, Japan. \* Incidentally, the three BD resultsat o = 1.5 X 10m4 in fii. 1 have also been compared by Ohtsuki [ 121 with his theory which, unlike the present one. applies to concentrated systems.