Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.104...41k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 104, no. 1, Sept. 1984, p. 41-59. Research supported by the Robert A. Welc
Physics
Condensed Matter
Statistical Mechanics
Cosmology, Galactic Clusters, Galactic Evolution, Many Body Problem, Continuity (Mathematics), Distribution Functions, Gravitational Effects, Spatial Distribution, Statistical Mechanics, Universe
Scientific paper
The key results of Fall and Saslaw (1976) and Kandrup (1983) regarding the early stages of galaxy clustering are reformulated here for the model problem of two-dimensional gravity with a 1/r-interaction force. This should lead to new insights into the various physical processes involved and, more importantly, may prove of some use in interpreting numerical results obtained from two-dimensional N-body simulations. The calculations suggest that, for a two-dimensional rather than three-dimensional system, the correlational energy density should grow more rapidly with time, but should exhibit only a weak logarithmic dependence upon the typical particle speed. Various other measures of the clustering are independent of the dimensionality.
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