Non-equilibrium steady state of sparse systems

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.

6 pages, 6 figures, EPL accepted version

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Cited by in corpus (4)

• Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
• The non-equilibrium steady state of sparse systems with nontrivial topology
• Non-equilibrium version of the Einstein relation
• Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics