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

被引：5
|
作者：
Qiu, Zhaoyang [1 ]
Tang, Yanbin [1 ]
Wang, Huaqiao [2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 10期
基金：
中国国家自然科学基金;
关键词：
NAVIER-STOKES EQUATIONS; LARGE DEVIATIONS; WEAK SOLUTIONS; DRIVEN; MARTINGALE;
D O I：
10.1063/5.0010740
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页数：25
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