Remarks about the microcanonical description of astrophysical systems

2003/03/21 by L. Velázquez, L. Velazquez, F. Guzman +3
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astrophysics (astro-ph) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #astro-ph #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0303444

RevTex4, 10 pages, 6 eps figures. Submitted Version to PRE

openalex publication_date 2003/03/21 · arxiv created 2003/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reconsider some general aspects about the mean field thermodynamical description of the astrophysical systems based on the microcanonical ensemble. Starting from these basis, we devote a special attention to the analysis of the scaling laws of the thermodynamical variables and potentials in the thermodynamic limit. Geometrical considerations motivate a way by means of which could be carried out a well-defined generalized canonical-like description for this kind of systems, even being nonextensive. This interesting possibility allows us to extend the applicability of the Standard Thermodynamic methods, even in the cases in which the system exhibits a negative specific heat. As example of application, we reconsider the classical Antonov problem of the isothermal spheres.

Related

• Astrophysical Systems: A model based on the Self-similarity Scaling Postulates
• Thermo-Statistics or Topology of the Microcanonical Entropy Surface
• Basis of a non Riemannian Geometry within the Equilibrium Thermodynamics
• Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws
• The Geometric Foundations of Microcanonical Thermodynamics: Entropy Flow Equation and Thermodynamic Equivalence