Asymptotic behavior for the 1D stochastic Landau–Lifshitz–Bloch equation

Abstract

The stochastic Landau–Lifshitz–Bloch equation describes the phase spins in a ferromagnetic material and has a significant role in simulating heat-assisted magnetic recording. In this paper, we consider the deviation of the solution to the 1D stochastic Landau–Lifshitz–Bloch equation, that is, we give the asymptotic behavior of the trajectory uε−u0ελ(ε) as ɛ → 0+, for λ(ε)=1ε and 1, respectively. In other words, the large deviation principle and the central limit theorem are established, respectively.