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arXiv · 0812.3304

Far-from-equilibrium state in a weakly dissipative model

Eric Bertin·Olivier Dauchot
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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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Eric Bertin, Olivier Dauchot. 2008-12-17. Far-from-equilibrium state in a weakly dissipative model. https://doi.org/10.1103/physrevlett.102.160601

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