Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions
Statistical Mechanics
2019-12-18 v1
Abstract
Employing heuristic susceptibility equations in conjunction with the well-known critical exponents, the magnetization and partition function for two-dimensional nearest neighbour Ising models are formulated in terms of the Gauss hypergeometric functions. The isomorphism existing between the Bragg-Williams approximation and the exact solution of Onsager is pointed out. The precise manner in which the critical exponents influence the partition functions is pointed out.
Cite
@article{arxiv.1912.08054,
title = {Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions},
author = {M. V. Sangaranarayanan},
journal= {arXiv preprint arXiv:1912.08054},
year = {2019}
}
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10 pages