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Deterministic spin models with a glassy phase transition

1996/05/24 by I Borsari, I. Borsari, M. Degli esposti +4
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1088/0305-4470/30/7/002

8 pages, no figures, RevTex format

arxiv created 1996/05/24 · openalex publication_date 1997/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We consider the infinite-range deterministic spin models with Hamiltonian , where is the quantization of a chaotic map of the torus. The mean-field Thouless - Anderson - Palmer (TAP) equations are derived by summing the high-temperature expansion. They predict a glassy phase transition at the critical temperature .

Citations