Explicit generation of the branching tree of states in spin glasses

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.

arXiv commentVersion accepted for publication in JSTAT

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Cited by in corpus (4)

• The marginally stable Bethe lattice spin glass revisited
• Spin-glass dynamics: experiment, theory and simulation
• Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses
• Small field chaos in spin glasses: universal predictions from the ultrametric tree and comparison with numerical simulations