Alternative model of the Antonov problem

Abstract

Astrophysical systems will never be in a real Thermodynamic equilibrium: they undergo an evaporation process due to the fact that the gravity is not able to confine the particles. Ordinarily, this difficulty is overcome by enclosing the system in a rigid container which avoids the evaporation. We proposed an energetic prescription which is able to confine the particles, leading in this way to an alternative version of the Antonov isothermal model which unifies the well-known isothermal and polytropic profiles. Besides of the main features of the isothermal sphere model: the existence of the gravitational collapse and the energetic region with a negative specific heat, this alternative model has the advantage that the system size naturally appears as a consequence of the particles evaporation.

RevTex4, 9 pages, 10 figures, Version Submitted to PRE

References in corpus (4)

• Phase transitions in self-gravitating systems. Self-gravitating fermions and hard spheres models
• Microcanonical mean-field thermodynamics of self-gravitating and rotating systems
• Phase diagram of self-attracting systems
• Relativistic Binaries in Globular Clusters

Cited by in corpus (5)

• Remarks about the thermodynamics of astrophysical systems in mutual interaction and related notions
• Truncated $\gamma$-exponential models for tidal stellar systems
• Equilibrium and Dynamical Evolution of Self-Gravitating System Embedded in a Potential Well
• Thermodynamics of gravitational clustering phenomena: $N$-body self-gravitating gas on the sphere ${\mathbb{S}}^3\subset {\mathbb{R}}^4$
• A pure non-neutral plasma under an external harmonic field: equilibrium thermodynamics and chaos