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.

Dynamic variational study of chaos: spin glasses in three dimensions / Billoire, A; Fernandez, L A; Maiorano, A; Marinari, E; Martin-Mayor, V; Moreno-Gordo, J; Parisi, G; Ricci-Tersenghi, F; Ruiz-Lorenzo, J J. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - ELETTRONICO. - 2018:3(2018). [10.1088/1742-5468/aaa387]

Dynamic variational study of chaos: spin glasses in three dimensions

Maiorano, A;Marinari, E;Parisi, G;Ricci-Tersenghi, F;
2018

Abstract

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.
2018
Physics; disordered systems and neural networks; statistical mechanics
01 Pubblicazione su rivista::01a Articolo in rivista
Dynamic variational study of chaos: spin glasses in three dimensions / Billoire, A; Fernandez, L A; Maiorano, A; Marinari, E; Martin-Mayor, V; Moreno-Gordo, J; Parisi, G; Ricci-Tersenghi, F; Ruiz-Lorenzo, J J. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - ELETTRONICO. - 2018:3(2018). [10.1088/1742-5468/aaa387]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1084394
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