2001•Journal of Physics A Mathematical and GeneralOpen access

The use of optimized Monte Carlo methods for studying spin glasses

Enzo Marinari, Giorgio Parisi, Federico Ricci‐Tersenghi, Francesco Zuliani

Abstract

We start from recently published numerical data by Hatano and Gubernatis to discuss properties of convergence to equilibrium of optimized Monte Carlo methods (bivariate multi-canonical and parallel tempering). We show that these data are not thermalized, and they lead to an erroneous physical picture. We shed some light on why the bivariate multi-canonical Monte Carlo method can fail.

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Key concepts: Parallel tempering, Monte Carlo method, Statistical physics, Bivariate analysis, Monte Carlo method in statistical physics, Monte Carlo molecular modeling, Convergence (economics), Dynamic Monte Carlo method