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)=Tρ1/n, where ρ is the local particle density, so that the equation of state is P(ρ)=D(ρ)ρ
Nearby in the stack
. 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.