Analytic solutions of the Weiss mean field equation

被引:2
|
作者
Koksharov, Yu A. [1 ,2 ]
机构
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
[2] Kotelnikov Inst Radioengn & Elect RAN, Moscow 125009, Russia
基金
俄罗斯基础研究基金会;
关键词
Weiss mean-field equation; Langevin function; Analytical solutions; Magnetization; Switching field; INVERSE LANGEVIN; ACCURATE APPROXIMANTS; MODEL;
D O I
10.1016/j.jmmm.2020.167179
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Analytic solutions of the Weiss mean field equation are obtained using an approximant of the inverse Langevin function. These solutions provide temperature dependencies of the magnetization and the magnetic susceptibility typical of the classical Weiss mean field model. It is interesting that the approximate cubic equation, studied in the work, is very close to that derived by the differentiation of the exact Weiss mean field equation. These equations coincide in the low temperature limit.
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页数:4
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