Clustering by mixing flows.

@article{Duncan2005ClusteringBM,
  title={Clustering by mixing flows.},
  author={Kevin Duncan and B Mehlig and Stellan Ostlund and Michael Wilkinson},
  journal={Physical review letters},
  year={2005},
  volume={95 24},
  pages={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 Padé-Borel summation. Our results prove that particles suspended in an… CONTINUE READING

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