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

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