Energy barriers of spin glasses from multi-overlap simulations

Details Energy barriers of spin glasses from multi-overlap simulations Energy barriers of spin glasses from multi-overlap simulations

1998-11-30

arxiv.org/abs/cond-mat/9811423v1

Ann. Phys. (Leipzig) 7 (1998) 544

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, Latex, 9 Postscript figures

Scientific paper

10.1002/(SICI)1521-3889(199811)7

We report large-scale simulations of the three-dimensional Edwards-Anderson Ising spin glass system using the recently introduced multi-overlap Monte Carlo algorithm. In this approach the temperature is fixed and two replica are coupled through a weight factor such that a broad distribution of the Parisi overlap parameter $q$ is achieved. Canonical expectation values for the entire $q$-range (multi-overlap) follow by reweighting. We present an analysis of the performance of the algorithm and in particular discuss results on spin glass free-energy barriers which are hard to obtain with conventional algorithms. In addition we discuss the non-trivial scaling behavior of the canonical $q$-distributions in the broken phase.

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