A generalized Faxén theorem for two-dimensional Brownian motion
type: Item
instance of: scholarly article
title: A generalized Faxén theorem for two-dimensional Brownian motion
zbMATH Open document ID: 0599.60077
DOI: 10.1016/0378-4371(84)90032-3
author: Rodney L. Varley
author: Ru-Ling Zhou
published in: Physica A
publication date: 1984-01-01T00:00:00Z
review text: The induced force method developed by Mazur and Bedeaux is applied to two-dimensional Brownian motion. We obtain a generalized Faxén theorem which reduces to the Stokes-Basset drag force on a nonuniformly moving cylinder or disk in the special case where the fluid fluctuations are neglected. The resulting modified Langevin equation is solved numerically for the velocity autocorrelation \(\phi\) (t) and the expected long time result \(\phi\) (t)\(\sim 1/t\) is obtained. It is perhaps surprising that the short time behavior of \(\phi\) (t) deviates considerably from that predicted on the basis of a modified Langevin equation incorporating the classic Oseen-Lamb drag force on a cylinder.
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 3967612
zbMATH Keywords: Langevin equation
MaRDI profile type: Publication
full work available at URL: 0378-4371(84)90032-3
OpenAlex ID: W1991448325
cites work: Q5523565
cites work: Fluctuating hydrodynamics and Brownian motion
cites work: Q5508799
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description: scientific article; zbMATH DE number 3967612