Fluctuations of the free energy in the mixed \(p\)-spin models with external field

DOI10.1007/s00440-016-0705-5zbMath1368.60096arXiv1509.07071OpenAlexW2963857014MaRDI QIDQ2359737

Partha S. Dey, Wei-Kuo Chen, Dmitriy Panchenko

Publication date: 22 June 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07071

zbMATH Keywords

free energycentral limit theoremmixed \(p\)-spin models

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10)

Related Items

Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interaction, The geometry of the Gibbs measure of pure spherical spin glasses, Universality of superconcentration in the Sherrington–Kirkpatrick model, Mean field spin Glass models under weak external field, Free energy in the mixed \(p\)-spin models with vector spins, Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models, Ferromagnetic to paramagnetic transition in spherical spin glass, Central limit theorem for the free energy of the random field Ising model, Free energy of bipartite spherical Sherrington-Kirkpatrick model, Spherical spin glass model with external field, Fluctuations for the bipartite Sherrington-Kirkpatrick model, A general method for lower bounds on fluctuations of random variables

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