Asymptotics of mean-field \(\mathrm{O}(N)\) models

DOI10.1007/s10955-016-1667-9zbMath1362.82019arXiv1602.03257OpenAlexW2268465669MaRDI QIDQ513204

Kay Kirkpatrick, Tayyab Nawaz

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1602.03257

zbMATH Keywords

phase transitionlimit theoremrate functionmean-fieldtotal spin

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (9)

Solution of the random field XY magnet on a fully connected graph ⋮ Error bounds in normal approximation for the squared-length of total spin in the mean field classical \(N\)-vector models ⋮ Quenched large deviations for interacting diffusions in random media ⋮ Nonlinear large deviations: beyond the hypercube ⋮ Multipopulation spin models: a view from large deviations theoretic window ⋮ Nematic first order phase transition for liquid crystals in the van der Waals–Kac limit ⋮ Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field ⋮ Critical Behavior of Mean-Field XY and Related Models ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs

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