The spatial correlations in the velocities arising from a random distribution of point vortices
arXiv:cond-mat/0004410 · doi:10.1063/1.1374937
Abstract
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.
37 pages in RevTeX format (no figure); submitted to Physics of Fluids
References in corpus (4)
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- Quasilinear theory of the 2D Euler equation
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