Electronic Resource
Springer
Journal of statistical physics
59 (1990), S. 371-402
ISSN:
1572-9613
Keywords:
Langevin equation
;
Brownian motion
;
rotating flow
;
fluctuating hydrodynamics
;
fluctuation-dissipation theorem
;
method of matched asymptotic expansions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The Langevin equations for a particle of an arbitrary shape and the correlation functions for the fluctuating forces, torques, or force-torque acting on the particle in a rotating flow are derived from the semimicroscopic level of coarse graining by using fluctuating hydrodynamics. In order to obtain the solution of the Navier-Stokes Langevin equation valid over the entire flow region, use is made of the method of matched asymptotic expansions in (Ω f a2/v)1/2≪ 1. The cases of slow and rapid rotation are analyzed. It is shown that the fluctuation-dissipation theorems hold up to the order of (Ω f a2/v)1/2 in both slow and rapid rotation, and that the diffusivity tensor depends on the angular velocity of the fluid and becomes anisotropic.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01015575
Permalink
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
