Monte Carlo study on ferromagnetic phase transition of two-dimensional Ising model

Abstract

Keywords: Monte Carlo simulation, Phase transition, Ising model, Binder ratio Abstract. We have investigated the phase transition of two-dimensional Ising model by Monte Carlo method. Our results reveal that a finite-temperature phase transition occurs in the Ising model. The calculation result agrees well with the theoretical one. The specific heat and the susceptibility peak at the critical temperature while they descend at both high and low temperature. The spontaneous magnetization approaches to unit when the temperature is below the critical temperature.