The anisotropic Ising correlations as elliptic integrals: duality and differential equations

DOI10.1088/1751-8113/49/43/434004zbMath1353.82015arXiv1606.08796OpenAlexW3103744989MaRDI QIDQ2834790

Barry M. McCoy, Jean-Marie Maillard

Publication date: 24 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08796

zbMATH Keywords

partial differential equationsKramers-Wannier dualitycomplete elliptic integrals of the first kindcomplete elliptic integrals of the second kindcomplete elliptic integrals of the third kinddual correlations of the anisotropic Ising modelhigh and low correlation functionsquadratic relations on correlation functions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Elliptic functions and integrals (33E05) PDEs in connection with statistical mechanics (35Q82)

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