On the consequences of the gravothermal catastrophe

Details On the consequences of the gravothermal catastrophe On the consequences of the gravothermal catastrophe

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.191..483l&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 191, May 1980, p. 483-498.

Astronomy and Astrophysics

Astronomy

164

Astronomical Models, Evolution (Development), Globular Clusters, Gravitational Collapse, Stellar Motions, Thermal Conductivity, Asymptotic Methods, Eigenvalues, Stellar Mass, Thermodynamics

Scientific paper

The mechanisms driving the evolution of globular clusters are considered, and it is found that not only the evolution of the core, but also the surroundings, are self-similar and leave behind a power law debris of material that was once in the core. The exponent in this power law is proven to be in the range of -2 to -2.5. Both the magnitude of the core energy and the core mass are found to tend to zero during evolution towards core collapse, and the central density always becomes infinite in finite time. For a model with energy transport by stellar encounters approximated as heat conduction in a gas, a numerical solution yields an eigenvalue of 2.21.

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