Dynamic variational study of chaos: spin glasses in three dimensions

A. Billoire (1) , L. A. Fernandez (2) , A. Maiorano (3) , E. Marinari (4) , V. Martin-Mayor (2) , J. Moreno-Gordo (3) , G. Parisi (4) , F. Ricci-Tersenghi (4) , J. J. Ruiz-Lorenzo (5)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 UCM - Universidad Complutense de Madrid = Complutense University of Madrid [Madrid]
3 BIFI - Instituto de Biocomputación y Física de Sistemas Complejos = Institute for Biocomputation and Physics of Complex Systems
4 Dipartimento di Fisica, Universita di Roma La Sapienza
5 UEX - Universidad de Extremadura - University of Extremadura

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 spin 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.

Keywords: spin glasses; slow relaxation; glassy dynamics; aging; extreme value statistics

Domains: Physics [physics]

A. Billoire, L. A. Fernandez, A. Maiorano, E. Marinari, V. Martin-Mayor, et al.. Dynamic variational study of chaos: spin glasses in three dimensions. Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018 (3), pp.033302. ⟨10.1088/1742-5468/aaa387⟩. ⟨cea-03197787⟩