Non-equilibrium steady state of sparse systems

Details Non-equilibrium steady state of sparse systems Non-equilibrium steady state of sparse systems

2010-07-05

arxiv.org/abs/1007.0766v3

Europhys.Lett.93:60002,2011

Physics

Quantum Physics

6 pages, 6 figures, EPL accepted version

Scientific paper

10.1209/0295-5075/93/60002

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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