Statistical mechanics of the self-gravitating gases

dc.creatorSiebert, Julien
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:15Z
dc.date.available2026-07-07T06:19:15Z
dc.descriptionThe 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 $1.6...$~.
dc.identifierhttps://arxiv.org/abs/astro-ph/0509808
dc.identifierhttp://arxiv.org/abs/astro-ph/0509808
dc.identifierThèse de Doctorat, Université Pierre et Marie Curie - Paris VI (2005-06-24) - H.J. de Vega (Dir.)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95007
dc.subjectAstrophysics
dc.titleStatistical mechanics of the self-gravitating gases
dc.typetext

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