## Daniel Hurowitz |

Advisor: Doron Cohen

We study the non equilibrium steady state (NESS) of sparse systems. Sparse systems are of glassy nature, in the sense that the transition rates in the system span many time scales. Our main achievement thus far is in understanding that sparse systems reach a non trivial steady state: It is of glassy nature and does not resemble, in any way, the canonical steady state. Still, we show that it is possible to generalize the fluctuation-dissipation phenomenology for the study of energy absorption. If the system has non trivial topology, then the dependence of the induced current on the driving intensity reflects signatures of Sinai spreading.

- Non-equilibrium steady state of sparse systems (2011)

D. Hurowitz and D. Cohen, Europhysics Letters, 93, 60002 (2011) - The non-equilibrium steady of sparse systems with nontrivial topology (2012)

D. Hurowitz S. Rahav and D. Cohen, Europhysics Letters, 98, 20002 (2012) - Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics (2013)

D. Hurowitz S. Rahav and D. Cohen, Phys. Rev. E, 88, 062141 (2013) - Non equilibirum version of the Einstein relation (2014)

D. Hurowitz and D. Cohen, Phys. Rev. E 90, 032129 (2014) - The relaxation rate of a stochastic spreading process in a closed ring (2016)

D. Hurowitz and D. Cohen, Phys. Rev. E 93, 062143 (2016) - Percolation, sliding, localization and relaxation in topologically closed circuits (2016)

D. Hurowitz and D. Cohen, Sci. Rep., 6, 22735