The stochastic Landau-Lifshitz-Bloch equation describes the phase spins in a ferromagnetic material and has significant role in simulating heat-assisted magnetic recording. In this paper, we consider the deviation of the solution to the 1-D stochastic Landau-Lifshitz-Bloch equation, that is, we give the asymptotic behavior of the trajectory $\frac{u_\varepsilon-u_0}{\sqrt{\varepsilon}\lambda(\varepsilon)}$ as $\varepsilon\rightarrow 0+$, for $\lambda(\varepsilon)=\frac{1}{\sqrt{\varepsilon}}$ and $1$ respectively. In other words, the large deviation principle and the central limit theorem are established respectively.

中文翻译：

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一维随机 Landau-Lifshitz-Bloch 方程的渐近行为

随机 Landau-Lifshitz-Bloch 方程描述了铁磁材料中的相位自旋，在模拟热辅助磁记录方面具有重要作用。本文考虑一维随机Landau-Lifshitz-Bloch方程解的偏差，即我们给出轨迹$\frac{u_\varepsilon-u_0}{\sqrt{\ varepsilon}\lambda(\varepsilon)}$ 作为 $\varepsilon\rightarrow 0+$，分别为 $\lambda(\varepsilon)=\frac{1}{\sqrt{\varepsilon}}$ 和 $1$。也就是说，分别建立了大偏差原理和中心极限定理。