Explicit generation of the branching tree of states in spin glasses

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

doi:10.1088/1742-5468/2015/05/p05002

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arXiv · 1409.8438

Explicit generation of the branching tree of states in spin glasses

G. Parisi·F. Ricci-Tersenghi·D. Yllanes

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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.

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G. Parisi, F. Ricci-Tersenghi, D. Yllanes. 2014-09-30. Explicit generation of the branching tree of states in spin glasses. https://doi.org/10.1088/1742-5468/2015/05/p05002

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