応用物理
Online ISSN : 2188-2290
Print ISSN : 0369-8009
ISSN-L : 0369-8009
Wiedemann効果の理論
山本 美喜雄
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ジャーナル フリー

1958 年 27 巻 2 号 p. 88-98

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As regards the classical problem of the Wiedemann effect in ferromagnetic polycrystalline substances, no satisfactory theory has yet been proposed except Fromy's theory for the case of thin-walled tube specimens. In a simple way, a general expression is derived for the Wiedemann effect or for the torsion angle per unit length, θr of a cylindrical layer of the radius r in the case of a cylindrical rod of ferromagnetic substance, fixed at its one end and magnetized by a longitudinal magnetic field, Hl, parallel to, and by a circular magnetic field, Hcr, around, the rod axis. When the elastic energy is negligible as compared with the magnetic field energy as in normal ferromagnetics, the general expression is reduced to
θr=(2/r){λl(Hr) -λt(Hr)}(HtHcr/Hr2),
where Hr=(Hl2-Hcr2)1/2 and λl(Hr) and λt(Hr) are, respectively, the longitudinal and transverse magnetostrictions accompanied with Hr. This expression is rewritten, for the surface of a rod of the radius a, as
θa=(2/a){λl(Ha)-λt (Ha)}(HlHca/Ha2),
which holds also for a thin-walled tube and is the expression derived already by Fromy. This expression is further reduced to
θa=(3/a)•λl(Ha)•(HlHca/Ha2),
if the volume magnetostriction is considered negligible as in normal ferromagnetics. It is shown that the above expressions can explain, completely qualitatively and to a considerable extent quantitatively, all of the available experimental facts concerning the Wiedemann effect.

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