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Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions
Clément Sire1, Pierre-Henri Chavanis
1Laboratoire de Physique Quantique (UMR 5626 du CNRS), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France. Clement.SIre@irsamc.ups-tlse.fr
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 2002
Abstract:
We address the thermodynamics and the collapse of a self-gravitating gas of Brownian particles in D dimensions, in both canonical and microcanonical ensembles. We study the equilibrium density profile and phase diagram of isothermal spheres and, for 2