On the Antonov criterion for gravothermal instability

Details On the Antonov criterion for gravothermal instability On the Antonov criterion for gravothermal instability

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...317..241l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 317, June 1, 1987, p. 241-245.

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Globular Clusters, Stellar Motions, Thermal Instability, Computational Astrophysics, Kinetic Equations, Linear Equations

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An explicit and rigorous proof of gravothermal instability is proposed, working in the two-dimensional energy-angular momentum space, with a previously given collisional operator (Luciani and Pellat, 1987). The proof is mainly based on self-adjointness properties. Then, explicit forms are derived for the unstable 'directions' near the threshold, which turn out to be simple but nevertheless display the necessity of a two-dimensional phase-space treatment.

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