LARGE DEVIATIONS AND THE RANDOM ENERGY MODEL

DOI10.1142/S0217979201002552zbMath1192.82043OpenAlexW2026255451MaRDI QIDQ3583515

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Publication date: 17 August 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979201002552

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) Large deviations (60F10)

Related Items (13)

Fluctuations of the free energy in the REM and the \(p\)-spin SK models ⋮ Exact solution of the gauge symmetric \(p\)-spin glass model on a complete graph ⋮ Generalized random energy model ⋮ The phase diagram of a directed polymer in random media with \(p\)-spin ferromagnetic interactions ⋮ Griffiths-type theorems for short-range spin glass models ⋮ Microcanonical analysis of the random energy model in a random magnetic field ⋮ Finite size corrections in the random energy model and the replica approach ⋮ Variational bounds for the generalized random energy model ⋮ A large deviation principle for the free energy of random Gibbs measures with application to the REM ⋮ Fluctuations of the partition function in the generalized random energy model with external field ⋮ Statistical and algebraic analysis of a family of random Boolean equations ⋮ Large deviations conditioned on large deviations. I: Markov chain and Langevin equation ⋮ Large deviations conditioned on large deviations II: Fluctuating hydrodynamics

Cites Work

• On a third-order phase transition
• On the existence of thermodynamics for the random energy model

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