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Arrott plot : ウィキペディア英語版
Arrott plot

In condensed matter physics, an Arrott plot is a plot of the square of the magnetization M^2 of a substance, against the ratio of the applied magnetic field to magnetization H/M at one (or several) fixed temperature(s). Arrott plots are an easy way of determining the presence of ferromagnetic order in a material.〔
〕〔
〕 They are named after American physicist Anthony Arrott who introduced them as a technique for studying magnetism in 1957.〔

==Details==
According to the Ginzburg-Landau mean field picture for magnetism, the free energy of a ferromagnetic material close to a phase transition can be written as:

F(M)=-H M+a (T-T_c) M^2+bM^4+\ldots

where M, the magnetization, is the order parameter, H is the applied magnetic field, T_c is the critical temperature, and a,b are arbitrary constants.
Close to the phase transition, this gives a relation for the magnetization order parameter:

M^2=\frac\frac-\frac\epsilon

where \epsilon=\frac is a dimensionless measure of the temperature.
Thus in a graph plotting M^2 vs. H/M for various temperatures, the line without an intercept corresponds to the dependence at the critical temperature. Thus along with providing evidence for the existence of a ferromagnetic phase, the Arrott plot can also be used to determine the critical temperature for the phase transition.〔


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Arrott plot」の詳細全文を読む



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