MULTICANONICAL SPIN GLASS SIMULATIONS

Bernd A. Berg and Tarik Celik
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Bernd A. Berg: Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL 32306, USA;
Tarik Celik: Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL 32306, USA

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 06, 1251-1274

Abstract: We report a Monte Carlo simulation of the 2D Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of sizeL2up toL=48are investigated. Once a true groundstate is found, we are able to give a lower bound on the number of statistically independent groundstates sampled. Temperature dependence of the energy, entropy and other quantities of interest are easily calculable. In particular we report the groundstate results. Our data indicate that the large L increase of the ergodicity time is reduced to an approximatelyV3power law. Altogether the results suggest that the multicanonical ensemble improves the situation of simulations for spin glasses and other systems which have to cope with similar problems of conflicting constraints.

Keywords: Spin Glasses; Simulations; Monte Carlo; Statistical Ensembles (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000865

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