Partition function for the two-dimensional square lattice Ising model in a non-zero magnetic field-A heuristic analysis

Abstract

The exact partition function of the two-dimensional nearest neighbour Ising model pertaining to square lattices is derived for N sites in the case of a non-vanishing magnetic field.When the magnetic field is zero,the partition functions estimated from the present analysis are identical with those arising from Onsager's exact solution.