Rates of convergence in the Blume-Emery-Griffiths model

DOI10.1007/s10955-014-0925-yzbMath1291.82036arXiv1304.2791OpenAlexW3105432523MaRDI QIDQ2249273

Peter Eichelsbacher, Bastian Martschink

Publication date: 10 July 2014

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

Full work available at URL: https://arxiv.org/abs/1304.2791

zbMATH Keywords

Stein's methodBlume-Capel modeltricritical pointfirst-order phase transitionsecond-order phase transitionexchangeable pairsBlume-Emery-Griffith model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (3)

Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits ⋮ A Stein characterisation of the generalized hyperbolic distribution ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs

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• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles

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