Clustering in mixing flows

Details Clustering in mixing flows Clustering in mixing flows

2005-06-07

arxiv.org/abs/cond-mat/0506175v1

Phys. Rev. Lett. 95, 240602 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.95.240602

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 Pade-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 characterise two distinct clustering effects which occur in that limit.

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