The spectral gap of the REM under Metropolis dynamics

DOI10.1214/aoap/1028903457zbMath0935.60084OpenAlexW2024176639MaRDI QIDQ1296612

Luiz Renato G. Fontes, Pierre Picco, Marco Isopi, Yoshiharu Kohayakawa

Publication date: 4 May 2000

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1028903457

zbMATH Keywords

dynamical phase transitionspin glassesdisordered systemsspectral gapconvergence to equilibriumGlauber dynamicsrandom energy modelMetropolis dynamics

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)

Related Items (13)

On the averaged dynamics of the random field Curie-Weiss model. ⋮ A representation of Gibbs measure for the random energy model. ⋮ Spectral gap estimates in mean field spin glasses ⋮ Aging in metropolis dynamics of the REM: a proof ⋮ K-processes, scaling limit and aging for the trap model in the complete graph ⋮ Aging of the Metropolis dynamics on the random energy model ⋮ Aging of asymmetric dynamics on the random energy model ⋮ Dynamics of mean field spin glasses on short and long timescales ⋮ Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales ⋮ Convergence time to equilibrium of the Metropolis dynamics for the GREM ⋮ On the spectral gap of spherical spin glass dynamics ⋮ Spectral characterization of aging: the REM-like trap model ⋮ Convergence of clock processes and aging in Metropolis dynamics of a truncated REM

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