Two-dimensional Ising model in a finite magnetic field for the square lattice of infinite sites-Partition function and Magnetization

TL;DR

This paper derives the partition function and magnetization equations for the two-dimensional Ising model on a square lattice with an infinite number of sites in the presence of a finite magnetic field.

Contribution

It provides explicit formulas for the partition function and magnetization in the 2D Ising model under a finite magnetic field, advancing theoretical understanding.

Findings

Derived partition function for 2D Ising model with magnetic field

Obtained magnetization equations in the same context

Contributes to analytical solutions of the model

Abstract

The partition function and magnetization equations are derived for the two-dimensional nearest neighbour Ising models in a magnetic field.