The Free Energy of the GREM with Random Magnetic Field

DOI10.1007/978-3-030-29077-1_3zbMath1446.82038OpenAlexW2972463274MaRDI QIDQ3296408

Roberto Persechino, Louis-Pierre Arguin

Publication date: 7 July 2020

Published in: Statistical Mechanics of Classical and Disordered Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-29077-1_3

zbMATH Keywords

extreme valuesspin glassesgeneralized random energy model (GREM)

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) 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) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

Generalized random energy models in a transversal magnetic field: free energy and phase diagrams ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses

Cites Work

• Unnamed Item
• Microcanonical analysis of the random energy model in a random magnetic field
• Derrida’s Random Energy Models
• Extremes of the two-dimensional Gaussian free field with scale-dependent variance
• Gaussian Processes on Trees
• Fluctuations of the partition function in the generalized random energy model with external field
• Statistical Mechanics of Disordered Systems
• Large deviations

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