Steepest descent technique and stellar equilibrium statistical mechanics. IV - Gravitating systems with an energy cutoff

Details Steepest descent technique and stellar equilibrium statistical mechanics. IV - Gravitating systems with an energy cutoff Steepest descent technique and stellar equilibrium statistical mechanics. IV - Gravitating systems with an energy cutoff

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...223..299k&link_type=abstract

Astrophysical Journal, Part 1, vol. 223, July 1, 1978, p. 299-310. Research supported by the United States-Israel Binational Sc

Physics

Condensed Matter

Statistical Mechanics

21

Energy Distribution, Star Clusters, Statistical Mechanics, Steepest Descent Method, Stellar Gravitation, Stellar Models, Thermodynamic Equilibrium, Canonical Forms, Dynamic Stability, Isothermal Processes, Star Distribution

Scientific paper

The thermodynamic stability of completely relaxed energy-truncated clusters of gravitating particles is analyzed by the method of steepest-descent calculation applied to the partition function of various ensembles. Cluster models with an energy cutoff in which particles barely reach the boundary of the system are considered, including the models of Woolley (1954) and King (1966). Both the energy cutoff and the partition function are defined phenomenologically, and the stability of mean field configurations is examined. Numerical results are presented for King's and Woolley's models, with various constraints; grand canonical, canonical, and microcanonical ensembles are treated. The stability limits obtained for the two models are discussed, and the results are compared with those for isothermal clusters.

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