Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions

M. V. Sangaranarayanan

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arXiv · 1912.08054

Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions

M. V. Sangaranarayanan

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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.

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M. V. Sangaranarayanan. 2019-12-11. Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions. https://arxiv.org/abs/1912.08054

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