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中国物理学会期刊

非均匀铁磁体自发磁化的平均场理论

CSTR: 32037.14.aps.27.439

THE MEAN FIELD THEORY FOR SPONTANEOUS MAGNETIZATION OF A NON-UNIFORM FERROMAGNET

CSTR: 32037.14.aps.27.439
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  • 从描写非均匀铁磁体的平均场近似的非线性微分方程出发,本文用分支点理论处理相变现象。指出:(1)系统的居里点由线性化方程的最大本征值决定;(2)略低于居里点时系统磁化的空间分布可用相应的本征函数描写;(3)磁化的温度关系由参数a(T)~(1-T/TC)1/2表示。本文最后用薄膜和一个简单的模型为例指出方法的利用。

     

    Starting from the nonlinear differential equation for a non-uniform ferromagnet in mean field approximation, we apply the bifurcation theory to discuss the pheno-mena of magnetic phase transition. It is shown that (1) the Curie point of the system is determined by the maximium eigenvalue of linearized equation; (2) the space varia-tion of magnetization just below the Curie point is described by the corresponding eigenfunction; (3) the temperature dependence of magnetization is represented by the parameter a(T)~(l-T:Tc)1/2. In the later parts of our paper, the application of this method is illustrated by examples of thin films and a simple model proposed for describ-ing non-uniform ferromagnet.

     

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