Liouville's theorem and the velocity field of galaxies

Details Liouville's theorem and the velocity field of galaxies Liouville's theorem and the velocity field of galaxies

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985natur.317..788r&link_type=abstract

Nature (ISSN 0028-0836), vol. 317, Oct. 31, 1985, p. 788, 789.

Physics

2

Galactic Clusters, Liouville Theorem, Velocity Distribution, Galactic Evolution, Star Distribution, Universe

Scientific paper

If the distribution of galaxies in the universe can be treated as a dissipationless fluid, then an application of Liouville's theorem predicts a linear relationship between the observed galaxy density and the cube of the velocity dispersion as measured at any point in space. Evidence from existing cluster data is presented here which supports this hypothesis. It is expected that the Liouville theorem provides only an upper limit to the phase-space density. Against the argument that real clusters have experienced considerable diffusion in phase-space, resulting in velocity dispersions larger than the limiting value, it is pointed out that most clusters appear to be only a few dynamical timescales in age, and therefore are not expected to have experienced significant phase mixing.

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