• Corpus ID: 248987131

Formulation of the partition functions and magnetization for two-dimensional nearest neighbour Ising models for finite and infinite lattice sites

@inproceedings{Priya2022FormulationOT,
  title={Formulation of the partition functions and magnetization for two-dimensional nearest neighbour Ising models for finite and infinite lattice sites},
  author={Anshu Priya and M. V. Sangaranarayanan},
  year={2022}
}
Using a combinatorial method, the partition functions for two-dimensional nearest neighbour Ising models have been derived for a square lattice of 16 sites in the presence of the magnetic field. A novel hierarchical method of enumeration of all the configurations for any arrangement of sites has been proposed. This enumeration has been executed by a systematic analysis of the appropriate diagrams without employing any algorithmic approach or computational tools. The resulting algebraic eqn in… 

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