title: Far-from-equilibrium state in a weakly dissipative model.
abstract: We address, on the example of a simple solvable model, the issue of whether the stationary state of dissipative systems converges to an equilibrium state in the low dissipation limit. We study a driven dissipative zero range process on a tree, in which particles are interpreted as finite amounts of energy exchanged between degrees of freedom. The tree structure mimics the hierarchy of length scales; energy is injected at the top of the tree (large scales), transferred through the tree, and dissipated mostly in the deepest branches of the tree (small scales). Varying a parameter characterizing the transfer dynamics, a transition is observed, in the low dissipation limit, between a quasiequilibrated regime and a far-from-equilibrium one, where the dissipated flux does not vanish.
authors.affiliation: Université de Lyon, Laboratoire de Physique, Ecole Normale Supérieure de Lyon, CNRS, 46 allée d'Italie, F-69007 Lyon, France.
authors.forename: Eric
authors.initials: E
authors.lastname: Bertin
authors.forename: Olivier
authors.initials: O
authors.lastname: Dauchot