Nonequilibrium relations in spin glasses

Details Nonequilibrium relations in spin glasses Nonequilibrium relations in spin glasses

2010-03-29

arxiv.org/abs/1003.5453v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, Proceeding of International Symposium on Nanoscience and Quantum Physics (nanoPHYS'09) Version 3 is the final one

Scientific paper

The applications of nonequilbrium relations such as the Jarzynski equality and the fluctuation theorem to spin glasses are considered. The spin glass is a basic platform where we consider an application of an approximate solver of combinatorial optimization problems, simulated annealing. We find a novel relationship between an average through a nonequilibrium process where the temperature changes as in simulated annealing and a thermal average in equilibrium with different amounts of quenched randomness. The results shown in the present study may serve as an alternative way to overcome critical slowing down in spin glasses. It means that this way may mitigate difficulties in several hard optimization problems.

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