Dynamic variational study of chaos: spin glasses in three dimensions

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 proble...

Descripción completa

Detalles Bibliográficos
Autores: Fernández Pérez, Luis Antonio, Martín Mayor, Víctor, Billoire, A., Maiorano, A., Marinari, E., Moreno Gordo, J., Parisi, G., Ricci-Tersenghi, F., Ruiz Lorenzo, J. J.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12041
Acceso en línea:https://hdl.handle.net/20.500.14352/12041
Access Level:acceso abierto
Palabra clave:53
Renorrmalization-group
Temperature chaos
Mean-field
Memory
Models
Rejuvenation
Dependence
Phase
Física-Modelos matemáticos
Descripción
Sumario: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.