Thermodynamics Property of Magnetic Materials in a Ferromagnetic System using the Ising Model

Abstract

There is hardly any branch of physics one can approach successfully without resorting to quantum statistical mechanics.  It has been proven that the quantum mechanical description of a system gives accurate results.  To use quantum statistical mechanics, the system are treated at their microscopic level.  Most systems consist of many particles and in order o deal with such large numbers, one has to resort to statistical method related to the partition function of statistical mechanics.  In this study, we haves used the partition function which is  a statistical parameter to explore the thermodynamic properties such as Helmoltz free energy, Entropy, internal energy and heat capacity of a magnetic materials in a ferromagnetic system using the first and second dimensional Ising model. The results show that in one-dimensional model, phase transition does not occur at finite temperature but susceptibility of a system can be measured from the fluctuations in the magnetization in the second dimensional Ising model.