000152229 001__ 152229 000152229 005__ 20251017144640.0 000152229 0247_ $$2doi$$a10.1088/1742-5468/2015/05/P05002 000152229 0248_ $$2sideral$$a143312 000152229 037__ $$aART-2015-143312 000152229 041__ $$aeng 000152229 100__ $$aParisi, G. 000152229 245__ $$aExplicit generation of the branching tree of states in spin glasses 000152229 260__ $$c2015 000152229 5060_ $$aAccess copy available to the general public$$fUnrestricted 000152229 5203_ $$aWe 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. 000152229 536__ $$9info:eu-repo/grantAgreement/EC/FP7/247328/EU/Critical Phenomena in Random Systems/CRIPHERASY$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2012-35719-C02 000152229 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000152229 590__ $$a2.091$$b2015 000152229 591__ $$aPHYSICS, MATHEMATICAL$$b8 / 53 = 0.151$$c2015$$dQ1$$eT1 000152229 591__ $$aMECHANICS$$b29 / 135 = 0.215$$c2015$$dQ1$$eT1 000152229 592__ $$a0.689$$b2015 000152229 593__ $$aStatistics and Probability$$c2015$$dQ2 000152229 593__ $$aStatistics, Probability and Uncertainty$$c2015$$dQ2 000152229 593__ $$aStatistical and Nonlinear Physics$$c2015$$dQ3 000152229 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000152229 700__ $$aRicci-Tersenghi, F. 000152229 700__ $$0(orcid)0000-0001-7276-2942$$aYllanes, D. 000152229 773__ $$g2015, 5 (2015), P05002 [31 pp.]$$pJ. Stat. Mech.-Theory Exp.$$tJournal of Statistical Mechanics: Theory and Experiment$$x1742-5468 000152229 8564_ $$s576569$$uhttps://zaguan.unizar.es/record/152229/files/texto_completo.pdf$$yPostprint 000152229 8564_ $$s954930$$uhttps://zaguan.unizar.es/record/152229/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000152229 909CO $$ooai:zaguan.unizar.es:152229$$particulos$$pdriver 000152229 951__ $$a2025-10-17-14:31:39 000152229 980__ $$aARTICLE