title: Scaling quasistationary states in long-range systems with dissipation.
abstract: Hamiltonian systems with long-range interactions give rise to long-lived out-of-equilibrium macroscopic states, so-called quasistationary 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 quasistationary states," i.e., states that are quasistationary in rescaled variables. A numerical study of one-dimensional self-gravitating systems confirms 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.
authors.affiliation: Laboratoire de Physique Nucléaire et de Hautes Énergies, UPMC IN2P3 CNRS UMR 7585, 4, Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Michael
authors.initials: M
authors.lastname: Joyce
authors.affiliation: Laboratoire de Physique Nucléaire et de Hautes Énergies, UPMC IN2P3 CNRS UMR 7585, 4, Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Jules
authors.initials: J
authors.lastname: Morand
authors.affiliation: Laboratoire de Physique Théorique, IRSAMC, CNRS UMR 5152, Université Paul Sabatier, 31062 Toulouse, France.
authors.forename: François
authors.initials: F
authors.lastname: Sicard
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, 4, Place Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Pascal
authors.initials: P
authors.lastname: Viot
mesh_terms: D004548:Elasticity; D007700:Kinetics; D008962:Models, Theoretical