Alternative model of the Antonov problem.

@article{Velzquez2003AlternativeMO,
  title={Alternative model of the Antonov problem.},
  author={Luis Vel{\'a}zquez and Fernando Guzm{\'a}n},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={68 6 Pt 2},
  pages={
          066116
        }
}
  • L. Velázquez, F. Guzmán
  • Published 2003
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… Expand

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References

SHOWING 1-10 OF 15 REFERENCES
On the equilibrium statistical mechanics of isothermal classical self-gravitating matter
The canonical ensemble is investigated for classical self-gravitating matter in a finite containerΛ[d]⊂ℝd,d=3 and 2. Starting with modified gravitational interactions (smoothed-out singularity), itExpand
On the asymptotic problem of statistical thermodynamics for a real system II. Equivalence of canonical and pressure ensemble
Abstract The method previously developed to establish the asymptotic equivalence of the microcanonical, the canonical, and the grand canonical formalism of classical statistical thermodynamics forExpand
Statistical mechanics of the self-gravitating gas: I. Thermodynamic limit and phase diagrams
Abstract We provide a complete picture to the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations, analytic mean field methods (MF) and low density expansions.Expand
The statistical mechanics of the self-gravitating gas: equation of state and fractal dimension
We provide a complete picture of the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations (MC), analytic mean field methods (MF) and low density expansions. TheExpand
Microcanonical mean-field thermodynamics of self-gravitating and rotating systems.
We derive the global phase diagram of a self-gravitating N-body system enclosed in a finite three-dimensional spherical volume V as a function of total energy and angular momentum, employing aExpand
On the asymptotic problem of statistical thermodynamics for a real system
Abstract A number of thermodynamic limit problems is investigated on the basis of very general assumptions about the interaction (“stability” and “strong tempering”). The main point is theExpand
Phase transitions in self-gravitating systems: self-gravitating fermions and hard-sphere models.
  • P. Chavanis
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
TLDR
The analytical model captures the essential physics of the problem and compares remarkably well with the full numerical solutions and presents two tricritical points at which the transition passes from first order to second order. Expand
Phase diagram of self-attracting systems.
A phase diagram of microcanonical ensembles of self-attracting particles is studied for two types of short-range potential regularizations: self-gravitating fermions and classical particlesExpand
The free energy of a macroscopic system
The statistical mechanics of classical and quantum mechanical systems interacting with many-body forces are investigated in the canonical and grand canonical ensembles. Under various generalExpand
Statistical mechanics of the self-gravitating gas: II. Local physical magnitudes and fractal structures
We complete our study of the self-gravitating gas by computing the fluctuations around the saddle point solution for the three statistical ensembles (grand canonical, canonical and microcanonical).Expand
...
1
2
...