Should a self-gravitating system relax towards an isothermal distribution?

Statistics – Computation

Scientific paper

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Computational Astrophysics, Globular Clusters, Gravitation, Isothermal Processes, Star Distribution, Collisions, Maxwell-Boltzmann Density Function, Thermal Instability

Scientific paper

In light of calculations presented by Prigogine and Severne (1966, 1968), whose possible physical implications for real astrophysical systems, such as globular clusters, have not yet been given adequate attention, it is noted that a self-gravitating system of stars need not tend toward the complete relaxation of an isothermal distribution. Even the neglect of evaporation and gravithermal instability does not preclude deviations from a Maxwellian distribution of velocities manifest on a time scale t(s) of about (log N)t(r), where t(r) is the ordinary binary relaxation time and N is the number of stars.

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