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 mimicks 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 quasi-equilibrated regime and a far-from-equilibrium one, where the dissipated flux does not vanish.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00434514
Contributor : Eric Bertin <>
Submitted on : Monday, November 23, 2009 - 2:01:55 PM
Last modification on : Thursday, February 7, 2019 - 3:22:31 PM

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Eric Bertin, Olivier Dauchot. Far-from-equilibrium state in a weakly dissipative model. Physical Review Letters, American Physical Society, 2009, pp.160601. ⟨10.1103/PhysRevLett.102.160601⟩. ⟨ensl-00434514⟩

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