Asymptotic behaviour of the Mayer cluster sums for the Ising model in the Bethe approximation

DOI10.1098/RSTA.1991.0100zbMath0748.60105OpenAlexW2052843783MaRDI QIDQ3981858

S. S. Mahal, G. S. Joyce

Publication date: 26 June 1992

Published in: Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1991.0100

zbMATH Keywords

asymptotic expansionsAiry functionmean-field limitBethe approximationsaddle-point methodslimiting densitycluster integralsasymptotic properties of the Bethe polynomial

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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