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

Published online by Cambridge University Press:  20 April 2006

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

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 217 - 220
Copyright
© 1983 Cambridge University Press

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References

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Hocquart, R. 1977 C. R. Acad. Sci. Paris 294A, 1421.