Article Dans Une Revue Physics of Fluids Année : 2001

The spatial correlations in the velocities arising from a random distribution of point vortices

Résumé

This paper is devoted to a statistical analysis of the velocity fluctuations arising from a random distribution of point vortices in two-dimensional turbulence. Exact results are derived for the correlations in the velocities occurring at two points separated by an arbitrary distance. We find that the spatial correlation function decays extremely slowly with the distance. We discuss the analogy with the statistics of the gravitational field in stellar systems.

Dates et versions

hal-00139162 , version 1 (29-03-2007)

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Pierre-Henri Chavanis, Clément Sire. The spatial correlations in the velocities arising from a random distribution of point vortices. Physics of Fluids, 2001, 13, pp.1904. ⟨hal-00139162⟩
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