Brownian motion near the Bénard-Rayleigh instability

Frank Garisto and P. Mazur

Physica A: Statistical Mechanics and its Applications, 1978, vol. 94, issue 3, 365-384

Abstract: The friction coefficient for a spherical Brownian particle neat the Bénard-Rayleigh convective instability is evaluated. It is shown that sufficiently close to the instability point this coefficient tends to zero as ϵ12 · ϵ = (Rc − R)⧸RC where R is the Rayleigh number and Rc its critical value. We also analyse the validity of Faxén's theorem near the instability and show that it has to be appropriately modified. The diffusion coefficient of the Brownian particle calculated on the basis of these results is found to diverge as ϵ−32 in agreement with the result previously obtained by Lekkerkerker.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:94:y:1978:i:3:p:365-384

DOI: 10.1016/0378-4371(78)90073-0

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