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

FuCho Pu | Zendy; Wang Dingsheng | Zendy

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

Author(s) -

FuCho Pu,

Wang Dingsheng

Publication year - 1978

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.27.439

Subject(s) - magnetization , condensed matter physics , eigenfunction , curie temperature , ferromagnetism , spontaneous magnetization , physics , eigenvalues and eigenvectors , field (mathematics) , mean field theory , curie–weiss law , magnetic field , quantum mechanics , mathematics , pure mathematics

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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