Dynamics of mean field spin glasses on short and long timescales

DOI10.1063/1.5094173zbMath1426.82068OpenAlexW2969472299WikidataQ127354535 ScholiaQ127354535MaRDI QIDQ5193196

Aukosh Jagannath

Publication date: 9 September 2019

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

Full work available at URL: https://doi.org/10.1063/1.5094173

zbMATH Keywords

spin glassesspectral graphIsing and spherical models

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

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Cites Work

• Unnamed Item
• Aging of the Metropolis dynamics on the random energy model
• Algorithmic thresholds for tensor PCA
• Rigorous inequalities between length and time scales in glassy systems
• Universality of the REM for dynamics of mean-field spin glasses
• The spectral gap of the REM under Metropolis dynamics
• Symmetric Langevin spin glass dynamics
• Glauber dynamics of the random energy model. I: Metastable motion on the extreme states
• Glauber dynamics of the random energy model. II: Aging below the critical temperature.
• Spectral gap estimates in mean field spin glasses
• The geometry of the Gibbs measure of pure spherical spin glasses
• The complexity of spherical \(p\)-spin models: a second moment approach
• A very simple proof of the LSI for high temperature spin systems
• Free energy in the mixed \(p\)-spin models with vector spins
• Large deviations for Langevin spin glass dynamics
• Sanov results for Glauber spin-glass dynamics
• Convergence of clock processes in random environments and ageing in the \(p\)-spin SK model
• Bounding flows for spherical spin glass dynamics
• On the spectral gap of spherical spin glass dynamics
• Cugliandolo-Kurchan equations for dynamics of spin-glasses
• Spectral characterization of aging: the REM-like trap model
• Positive definite functions on spheres
• Universality and extremal aging for dynamics of spin glasses on subexponential time scales
• Bounds on the complexity of Replica Symmetry Breaking for spherical spin glasses
• Random Matrices and Complexity of Spin Glasses
• Activated aging dynamics and effective trap model description in the random energy model
• The arcsine law as a universal aging scheme for trap models
• Limiting dynamics for spherical models of spin glasses at high temperature
• Convergence to equilibrium for spin glasses
• Aging of spherical spin glasses