Journal of Fluid Mechanics

The long-time tail of the angular-velocity autocorrelation function for a rigid Brownian particle of arbitrary centrally symmetric shape

R.  Hocquart a1 and E. J.  Hinch a2
a1 Laboratoire Rayonnements et Structures, Université de Metz, 57000 Metz
a2 Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge CB3 9EW

Article author query
hocquart r   [Google Scholar] 
hinch ej   [Google Scholar] 


The long-time t−5/2 behaviour of the angular-velocity autocorrelation function is determined by the diffusion of fluid motion to large distances, from where the particle appears a point singularity. From an examination of this flow, the coefficient of t−5/2 can be related to some effective aspect ratios which describe how the particle rotates in a simple shear flow.

(Published Online April 20 2006)
(Received June 14 1983)