Abstract:
We consider two-particle dispersion in a velocity field, where the relative two-point velocity scales according to v 2(r) ∝r α and the corresponding correlation time scales as τ(r) ∝r β, and fix α = 2/3, as typical for turbulent flows. We show that two generic types of dispersion behavior arize: For α/2 + β < 1 the correlations in relative velocities decouple and the diffusion approximation holds. In the opposite case, α/2 + β > 1, the relative motion is strongly correlated. The case of Kolmogorov flows corresponds to a marginal, nongeneric situation. In this case, depending on the particular parameters of the flow, the dispersion behavior can be rather diffusive or rather ballistic.
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Received 13 March 2001
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Sokolov, I. Two-particle dispersion in model two-dimensional velocity fields. Eur. Phys. J. B 22, 369–373 (2001). https://doi.org/10.1007/s100510170115
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DOI: https://doi.org/10.1007/s100510170115