Transições de Fases Magnéticas: Um Estudo do Modelo de Ising

Abstract

In this paper, we look at how transitions between magnetic phases occur, focusing on the transition from a ferromagnetic to a paramagnetic state. To this end, the Ising model is adopted and studied using two different methods: the usual Mean Field Theory and the Correlated Mean Field Theory. The aim is to compare the methods for determining the critical phase transition temperature and to discuss how the thermodynamics of these systems is modified during this process, with the study of fundamental quantities such as energy and specific heat. To this end, numerical methods for analyzing transition temperatures and other thermodynamic quantities are adopted, such as iterative methods for solving self-consistent equations and a numerical derivation method, in order to comparatively verify whether there is an improvement in the Correlated Mean Field Theory compared to the usual one.