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

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 <mml:mfrac>u epsilon -u0<mml:msqrt>epsilon</mml:msqrt>lambda(epsilon)</mml:mfrac> as -> 0(+), for lambda(epsilon)=<mml:mfrac>1<mml:msqrt>epsilon</mml:msqrt></mml:mfrac> and 1, respectively. In other words, the large deviation principle and the central limit theorem are established, respectively.