Alternative model of the Antonov problem

L. Velazquez and F. Guzmán
Phys. Rev. E 68, 066116 – Published 24 December 2003
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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 propose 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 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.

  • Received 2 May 2003

DOI:https://doi.org/10.1103/PhysRevE.68.066116

©2003 American Physical Society

Authors & Affiliations

L. Velazquez*

  • Departamento de Física, Universidad de Pinar del Río, Martí 270, Esq. 27 de Noviembre, Pinar del Río, Cuba

F. Guzmán

  • Departamento de Física Nuclear, Instituto Superior de Ciencias y Tecnología Nucleares, Carlos III y Luaces, Plaza, La Habana, Cuba

  • *Electronic address: luisberis@geo.upr.edu.cu
  • Electronic address: guzman@info.isctn.edu.cu

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Vol. 68, Iss. 6 — December 2003

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