Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model

DOI10.1063/1.1515109zbMath1060.82024arXivcond-mat/0201092OpenAlexW2057770354MaRDI QIDQ4832851

Fabio Lucio Toninelli, Francesco Guerra

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0201092

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items

A limit theorem for the covariances of spins in the Sherrington-Kirkpatrick model with an external field, A central limit theorem for a localized version of the SK model, Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique, The mean field Ising model trough interpolating techniques, The Ising-Sherrington-Kirpatrick model in a magnetic field at high temperature, On the stochastic calculus method for spins systems, Cavity method in the spherical SK model, PDE/statistical mechanics duality: relation between Guerra's interpolated \(p\)-spin ferromagnets and the Burgers hierarchy, Fluctuations in the Ising model on a sparse random graph, Fluctuations for the bipartite Sherrington-Kirkpatrick model

Cites Work

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