One-dimensional self-gravitating sheet model and Lynden-Bell statistics

Details One-dimensional self-gravitating sheet model and Lynden-Bell statistics One-dimensional self-gravitating sheet model and Lynden-Bell statistics

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrve..78d1114y&link_type=abstract

Physical Review E, vol. 78, Issue 4, id. 041114

Physics

Condensed Matter

Statistical Mechanics

19

Classical Statistical Mechanics, Nonlinear Dynamics And Chaos

Scientific paper

The Lynden-Bell statistics has been proposed to explain common features among galaxies, which are not in thermal equilibrium. The statistics is not successful to reproduce energy distribution in the one-dimensional self-gravitating sheet model except for initial states near the virial equilibrium. The breakdown is caused by dynamically accelerated high-energy sheets, and hence a modified statistics is examined by focusing on low-energy sheets in order to clarify validity of the basic idea of the Lynden-Bell statistics. The modification improves agreement between the theoretical and numerical energy distributions in a wide interval of the initial virial ratio.

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