Explicit generation of the branching tree of states in spin glasses. (7th May 2015)

• Record Type: Journal Article
• Authors: Parisi, G; Ricci-Tersenghi, F; Yllanes, D
• Is Part Of: Journal of statistical mechanics. (2015:May)
• Publication Date: 2015-05-07
• Subjects: 7; 7/010 -- 7/160; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/05/P05002
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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.