Explicit generation of the branching tree of states in spin glasses

Parisi, G. ; Ricci-Tersenghi, F. ; Yllanes, D.

Resumen: We present a numerical method to generate explicit realizations of the tree of states in mean-field spin glasses. The resulting study illuminates the physical meaning of the full replica symmetry breaking solution and provides detailed information on the structure of the spin-glass phase. A cavity approach ensures that the method is self-consistent and permits the evaluation of sophisticated observables, such as correlation functions. We include an example application to the study of finite-size effects in single-sample overlap probability distributions, a topic that has attracted considerable interest recently.

Idioma: Inglés

DOI: 10.1088/1742-5468/2015/05/P05002

Año: 2015

Publicado en: Journal of Statistical Mechanics: Theory and Experiment 2015, 5 (2015), P05002 [31 pp.]
ISSN: 1742-5468

Factor impacto JCR: 2.091 (2015)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 8 / 53 = 0.151 (2015) - Q1 - T1
Categ. JCR: MECHANICS rank: 29 / 135 = 0.215 (2015) - Q1 - T1

Factor impacto SCIMAGO: 0.689 - Statistics and Probability (Q2) - Statistics, Probability and Uncertainty (Q2) - Statistical and Nonlinear Physics (Q3)

Financiación: info:eu-repo/grantAgreement/EC/FP7/247328/EU/Critical Phenomena in Random Systems/CRIPHERASY
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02

Tipo y forma: Artículo (PostPrint)