Simple Algorithm for Computing the Value of the Critical Temperature of Magnetic Nanoparticles with High Accuracy Using Simulation Methods

A new method is developed for a more accurate computing of the value of the critical point for magnetic nanoparticles using the cellular automata simulation method. In traditional methods, the transition between positive and negative magnetization before the critical temperature results in erroneous computation of the critical point. Our method is based on the count of the states in the graph of magnetization versus time, in which the absolute value of magnetization per site is bigger than a threshold value m_t. If the number of these states is more than 70% of the simulation time, the temperature of the system is below the Curie temperature; otherwise, the temperature is greater than the Curie temperature. According to the obtained results, it seems that this method is suitable for a better estimation of the value of the critical temperature.