Asymptotic behavior of Mayer cluster sums for the one-dimensional Ising model.

DOI10.1007/BF01112755zbMath1086.33500MaRDI QIDQ1963740

G. S. Joyce

Publication date: 2 February 2000

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

zbMATH Keywords

zerosasymptotic analysisone-dimensional Ising modelhigh-field polynomialsMayer cluster sums

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Asymptotics for orthogonal polynomials
• The special functions and their approximations. Vol. I, II
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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