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

References in corpus (3)

• Statistical mechanics of Floquet systems with regular and chaotic states
• The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture
• Quantum response of weakly chaotic systems