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Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions

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arxiv 1709.09829 v2 pith:4BH2SB4Y submitted 2017-09-28 cond-mat.dis-nn cond-mat.stat-mech

Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions

A. Billoire , L.A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , J. Moreno-Gordo , G. Parisi , F. Ricci-Tersenghi
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J.J. Ruiz-Lorenzo
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classification cond-mat.dis-nn cond-mat.stat-mech
keywords correlationchaosdynamicsparalleltemperingtimesglassesspin
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We have introduced a variational method to improve the computation of integrated correlation times in the Parallel Tempering Dynamics, obtaining a better estimate (a lower bound, at least) of the exponential correlation time. Using this determination of the correlation times, we revisited the problem of the characterization of the chaos in temperature in finite dimensional spin glasses by means of the study of correlations between different chaos indicators computed in the static and the correlation times of the Parallel Tempering dynamics. The sample-distribution of the characteristic time for the Parallel Tempering dynamics turns out to be fat-tailed and it obeys finite-size scaling.

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