COLLAPSE AND EVAPORATION OF A CANONICAL SELF-GRAVITATING GAS
Résumé
We review the out-of-equilibrium properties of a self-gravitating gas of particles in the presence of a strong friction and a random force (canonical gas). We assume a bare diffusion coefficient of the form D(ρ) = T ρ 1/n , where ρ is the local particle density, so that the equation of state is P (ρ) = D(ρ)ρ. Depending on the spatial dimension d, the index n, the temperature T , and whether the system is confined to a finite box or not, the system can reach an equilibrium state, collapse or evaporate. This article focuses on the latter cases, presenting a complete dynamical phase diagram of the system.
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