Dispersion and Scaling Law of Dynamic Hysteresis Based on the   Landau-Lifshitz-Gilbert Model
  Hysteresis dispersion under a varying external field Hex is investigated through numerical simulations based on the Landau-Lifshitz-Gilbert (LLG) equation, indicating the energy dissipation can be determined by W({\eta}) = A (f, H0). A linear relation between area of hysteresis and magnitude of external field is discovered. Evolution of hysteresis is also investigated under oscillating external field. 
Siying Liu, Hongyi Zhang, and Hao Yu
cond-mat.mtrl-sci