The Landau-Lifshitz Equation

The Landau-Lifshitz equation describes how the magnetic moments (tiny magnetic directions) inside a material change over time. It captures how these magnetic moments precess (rotate) around an effective magnetic field, influenced by external forces and interactions, and how they gradually align or relax. This equation helps physicists understand processes like magnetic switching and wave propagation in magnetic materials, essential for developing data storage and spintronic devices. In essence, it models the dynamic behavior of magnetic moments within materials, balancing their tendency to rotate and settle into stable configurations.