In 1955  Gilbert replaced the damping term in the Landau–Lifshitz (LL) equation by one that depends on the time derivative of the magnetization:
This is the Landau–Lifshitz–Gilbert (LLG) equation, where  is the damping parameter, which is characteristic of the material. It can be transformed into the Landau–Lifshitz equation:
where
In this form of the LL equation, the precessional term  depends on the damping term. This better represents the behavior of real ferromagnets when the damping is large.