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Journal Articles Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie Year : 2006

Statistical mechanics of the self-gravitating gas: Thermodynamic limit, instabilities and phase diagrams

Abstract

We show that the self-gravitating gas at thermal equilibrium has an infinite volume limit in the three ensembles (GCE, CE, MCE) when (N,V)-->∞, keeping N/V fixed, that is, with eta≡GmNVT fixed. We develop Monte Carlo simulations, analytic mean field methods (MF) and low density expansions. We compute the equation of state and find it to be locallyp(r-->)=Trho(r-->), that is a local ideal gas equation of state. The system is in a gaseous phase for etaeta in the CE with the pressure becoming large and negative. The isothermal compressibility diverges at eta=eta. We compute the fluctuations around mean field for the three ensembles. We show that the particle distribution can be described by a Haussdorf dimension 1

Dates and versions

hal-03786065 , version 1 (23-09-2022)

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Hector J. de Vega, Norma G. Sánchez. Statistical mechanics of the self-gravitating gas: Thermodynamic limit, instabilities and phase diagrams. Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, 2006, 7, pp.391-397. ⟨10.1016/j.crhy.2006.01.006⟩. ⟨hal-03786065⟩
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