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

Autor: Sangaranarayanan, M. V.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 10 pages
Databáze: arXiv