Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model

DOI10.1007/BF02186760zbMath0828.60086OpenAlexW2015085454MaRDI QIDQ1897050

Valentin A. Zagrebnov, André F. Verbeure

Publication date: 18 December 1995

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

Full work available at URL: https://doi.org/10.1007/bf02186760

zbMATH Keywords

susceptibilityCurie-Weiss modelcritical external fieldscritical probability distributionsmodulated fluctuations

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (4)

Algebraic structure of \(k\)-mode fluctuations ⋮ Quantum fluctuations in mesoscopic systems ⋮ Asymptotics of mean-field \(\mathrm{O}(N)\) models ⋮ Dynamics of quantum fluctuations in an anharmonic crystal model

Cites Work

• Critical fluctuations for quantum mean-field models
• Quantum critical fluctuations in an anharmonic crystal model
• Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal
• On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics

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