Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Jun 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...222..941h&link_type=abstract
Astrophysical Journal, Part 1, vol. 222, June 15, 1978, p. 941-958. Research supported by the United States-Israel Binational S
Physics
Condensed Matter
Statistical Mechanics
39
Astrophysics, Equilibrium Equations, Star Clusters, Statistical Mechanics, Steepest Descent Method, Stellar Models, Stellar Systems, Canonical Forms, Celestial Mechanics, Center Of Gravity, Eigenvalues, Mathematical Models, Systems Stability, Thermodynamic Properties
Scientific paper
The stability of mean fields in stellar systems under various constraints has been analyzed by a steepest descent technique applied to the relevant thermodynamic potential. Necessary and sufficient conditions of stability with respect to arbitrary perturbations about mean field solutions have been obtained. Instabilities with respect to spherically symmetric perturbations are associated with a change of sign of thermodynamic quantities. With a fixed center of mass, the clusters are stable with respect to arbitrary nonspherical perturbations. Numerical results are given.
Horwitz Gerald
Katz Jonathan
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