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arXiv · 1007.0766

Non-equilibrium steady state of sparse systems

Daniel Hurowitz·Doron Cohen
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Abstract

A resistor-network picture of transitions is appropriate for the study of energy absorption by weakly chaotic or weakly interacting driven systems. Such "sparse" systems reach a novel non-equilibrium steady state (NESS) once coupled to a bath. In the stochastic case there is an analogy to the physics of percolating glassy systems, and an extension of the fluctuation-dissipation phenomenology is proposed. In the mesoscopic case the quantum NESS might differ enormously from the stochastic NESS, with saturation temperature determined by the sparsity. A toy model where the sparsity of the system is modeled using a log-normal random ensemble is analyzed.

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Daniel Hurowitz, Doron Cohen. 2011-02-17. Non-equilibrium steady state of sparse systems. https://doi.org/10.1209/0295-5075%2F93%2F60002

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