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Clustering by mixing flows.

Journal article
Authors Kevin Duncan
Bernhard Mehlig
Stellan Östlund
M. Wilkinson
Published in Physical review letters
Volume 95
Issue 24
Pages 240602
ISSN 0031-9007
Publication year 2005
Published at Department of Physics (GU)
Pages 240602
Language en
Subject categories Physical Sciences


We calculate the Lyapunov exponents for particles suspended in a random three-dimensional flow, concentrating on the limit where the viscous damping rate is small compared to the inverse correlation time. In this limit Lyapunov exponents are obtained as a power series in epsilon, a dimensionless measure of the particle inertia. Although the perturbation generates an asymptotic series, we obtain accurate results from a Padé-Borel summation. Our results prove that particles suspended in an incompressible random mixing flow can show pronounced clustering when the Stokes number is large and we characterize two distinct clustering effects which occur in that limit.

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