Statistical mechanics of the self-gravitating gases.

Abstract : The self-gravitating systems are formed by particles interacting through gravity. They describe structure formation in the universe. As a consequence of the long range interaction of gravity, they are inhomogeneous even at thermal equilibrium. We study the self-gravitating systems with several kinds of particles and the self-gravitating systems in the presence of the cosmological constant $Lambda$. We formulate the statistical mechanics and the mean field approach describing the gaseous phase. We explicitely compute the density of particles and thermodynamic quantities. The presence of $Lambda$ extends the domain of stability of the gaseous phase. Monte Carlo simulations show that the mean field describes the gaseous phase with an excellent accuracy. Scalling law of the self-gravitating systems with several kinds of particles is found. At the critical point the fractal dimension is independant of their composition and is $1.6...$~.
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https://tel.archives-ouvertes.fr/hal-00009142
Contributor : Julien Siebert <>
Submitted on : Tuesday, September 27, 2005 - 3:12:14 PM
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Citation

Julien Siebert. Statistical mechanics of the self-gravitating gases.. Cosmologie et astrophysique extra-galactique [astro-ph.CO]. Université Pierre et Marie Curie - Paris VI, 2005. Français. ⟨hal-00009142⟩

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