Scaling quasi-stationary states in long range systems with dissipation
  Hamiltonian systems with long-range interactions give rise to long lived out
of equilibrium macroscopic states, so-called quasi-stationary states. We show
here that, in a suitably generalized form, this result remains valid for many
such systems in the presence of dissipation. Using an appropriate mean-field
kinetic description, we show that models with dissipation due to a viscous
damping or due to inelastic collisions admit "scaling quasi-stationary states",
i.e., states which are quasi-stationary in rescaled variables. A numerical
study of one dimensional self-gravitating systems confirms both the relevance
of these solutions, and gives indications of their regime of validity in line
with theoretical predictions. We underline that the velocity distributions
never show any tendency to evolve towards a Maxwell-Boltzmann form.
