Brownian motion in a rotating flow

摘要: The Langevin equations for a particle of an arbitrary shape and the correlation functions fluctuating forces, torques, or force-torque acting on in rotating flow are derived from semimicroscopic level coarse graining by using hydrodynamics. In order to obtain solution Navier-Stokes equation valid over entire region, use is made method matched asymptotic expansions (Ω f a2/v)1/2≪ 1. cases slow rapid rotation analyzed. It shown that fluctuation-dissipation theorems hold up a2/v)1/2 both rotation, diffusivity tensor depends angular velocity fluid becomes anisotropic.