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

Authors
Chavanis, PH Sire, C
Citation
Ph. Chavanis et C. Sire, The spatial correlations in the velocities arising from a random distribution of point vortices, PHYS FLUIDS, 13(7), 2001, pp. 1904-1923
Citations number
29
Categorie Soggetti
Physics
Journal title
PHYSICS OF FLUIDS
ISSN journal
10706631 → ACNP
Volume
13
Issue
7
Year of publication
2001
Pages
1904 - 1923
Database
ISI
SICI code
1070-6631(200107)13:7<1904:TSCITV>2.0.ZU;2-H
Abstract
This paper is devoted to a statistical analysis of the velocity fluctuation s arising from a random distribution of point vortices in two-dimensional t urbulence. Exact results are derived for the correlations in the velocities occurring at two points separated by an arbitrary distance. We find that t he spatial correlation function decays extremely slowly with the distance. We discuss formal analogies with the statistics of the gravitational field in stellar systems. (C) 2001 American Institute of Physics.