Ising Model Phase Transition Calculation for Ferro-Paramagnetic Lattice

The position of the phase transition in the two dimensional Ising model were determined by using Monte Carlo simulation in a quadratic for area of variable length with external magnetic field switched off (B = 0). The magnetization per site , magnetic susceptibility of a ferromagnetic and paramagnetic materials were calculated as a function of temperature for , spin lattice interactions. Nearest neighbor interaction is assumed (i.e. each spin has 4 neighbors); uses periodic boundary conditions. The Curie temperature is determined by measuring the magnetic susceptibility at which the ferromagnetic and paramagnetic undergoes a phase change from order to disorder. There is thus a phase transition defined by the Curie temperature. The Monte Carlo method were used to check these results and to confirm the phase transition. The data are analyzed using the Curie-Weiss law which contains the Curie temperature as a parameter.