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

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 نشر من قبل Zhaoyang Qiu
 تاريخ النشر 2020
  مجال البحث
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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 $varepsilonrightarrow 0+$, 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.



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