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

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

2000-04-25

arxiv.org/abs/cond-mat/0004410v2

Phys. Fluids 13, 1904 (2001)

Physics

Condensed Matter

Statistical Mechanics

37 pages in RevTeX format (no figure); submitted to Physics of Fluids

Scientific paper

10.1063/1.1374937

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.

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