According to the Smoluchowski-Kramers approximation, the solution of the equation μq̈ t = b(q μ t ) − q̇ t + Σ(q t )Ẇt, q 0 = q, q̇ 0 = p converges to the solution of the equation q̇t = b(qt) + Σ(qt)Ẇt, q0 = q as μ → 0. We consider here a similar result for the Langevin process with elastic reflection on the boundary.

The stochastic dynamics of spin semiclassical system at finite temperature is usually described by Landau-Lifshitz equation. In this work, the differential equation for studied. generalized formulation effective Langevin and corresponding Fokker-Planck are derived. obtained offers an accurate description distribution in canonical ensemble system. When damping term vanish, reduces to motion Henc...