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Journal Articles Physical Review Letters Year : 2009

Far-from-equilibrium state in a weakly dissipative model

Eric Bertin
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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.

Dates and versions

ensl-00434514 , version 1 (23-11-2009)



Eric Bertin, Olivier Dauchot. Far-from-equilibrium state in a weakly dissipative model. Physical Review Letters, 2009, 102, pp.160601. ⟨10.1103/PhysRevLett.102.160601⟩. ⟨ensl-00434514⟩
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