マイクロマグネテクスシミュレーションIV 第4 章熱の導入

摘要

This chapter decribes methods for introducing the thermal effect into the Landau-Lifshitz-Gilbert equation. Three typical methods are described: the method using the Langevin equation, the method using the Fokker-Planck equation, and the Monte Carlo method. The methods using the Langevin equation and the Fokker-Planck equation are used for changes of magnetization with a very short time interval. The method using the Fokker-Planck equation is suitable for obtaining the switching probability or prefactor of a single-domain particle. The method using the Langevin equation is suitable for obtaining shorttime magnetization changes in thin film or bulk material. On the other hand, the Monte Carlo method is suitable for obtaining long-term magnetization changes. This chapter also gives examples obtained by using the three methods.