Decomposition of modified Landau-Lifshitz-Gilbert equation and   corresponding analytic solutions
  The Suzuki-Trotter decomposition in general allows one to divide the equation of motion of a dynamical system into smaller parts whose integration are easier than the original equation. In this study, we first rewrite by employing feasible approximations the modified Landau-Lifshitz-Gilbert equation for localized spins in a suitable form for simulations using the Suzuki-Trotter decomposition. Next we decompose the equation into parts and demonstrate that the parts are classified into three groups, each of which can be solved exactly. Since the modified Landau-Lifshitz-Gilbert equation from which we start is in rather a general form, simulations of spin dynamics in various systems accompanying only small numerical errors are possible. 
Taichi Kosugi
cond-mat.mes-hall cond-mat.mtrl-sci