Statistical mechanics of the self-gravitating gas: I. Thermodynamic limit and phase diagrams
نویسندگان
چکیده
منابع مشابه
Statistical Mechanics of the Self-gravitating Gas: I. Thermodynamic Limit and Phase Diagrams
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. The system is shown to possess an infinite volume limit in the grand canonical (GCE), canonical (CE) and microcanonical (MCE) ensembles when (N,V ) → ∞, keeping N/V 1/3 fixed. We compute the equation of stat...
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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. The system is shown to possess an infinite volume limit in the grand canonical (GCE), canonical (CE) and microcanonical (MCE) ensembles when (N,V ) → ∞, keeping N/V 1/3 fixed. We compute the equation of stat...
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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 1/3 fixed, that is, with η ≡ GmN V 1/3 T 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 locally p(~r) = T ρV (~r), that is a local ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2002
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(02)00025-1