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The mathematical model on which our analysis is based is a collection of random samples from a uniform distribution of rectangular prisms, each prism having a constant magnetization.
The magnetization switching dynamics in ferromagnetic Cobalt nanocylinders under mechanical loading is studied by a constraint-free phase field model, which allows the exactly constant magnetization magnitude and the explicit magneto-mechanical coupling.
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Thus, in constant magnetic field dependence of mass magnetization M = M(T) is observed which is characteristic for paramagnetics and ferromagnetics in paramagnetic region of temperature (Fig. 5) and described by Curie Weiss law.
The temperature dependences of the DC susceptibility (χ = M/ H), where M is the magnetization of the sample and H is the applied constant magnetic field) were measured while cooling the sample from 400 or 350 to 2 K in a magnetic field of 1000 Oe.
Where C H is the heat capacity under constant magnetic field, H is the magnetic field strength, and M is the magnetization.
In the case of high-density magnetic materials, Ha is related to anisotropy constant, saturation magnetization, etc. [17], that has been followed by H a = 2 K 1 M s, Open image in new window (6).
The effect of anisotropy constant, saturated magnetization and exchange coupling constants on the hysteresis loops are presented.
Ferromagnetic materials, such as iron and cobalt, do not have constant susceptibilities; the magnetization is not usually proportional to the applied field strength.
Appropriate La Co substitution improves the magnetic properties of the ferrites, including the saturation magnetization Ms, effective magnetic anisotropy constant Keff, magnetic anisotropy field Ha, and intrinsic coercivity Hci.
The phase field equations are shown to reduce to the common micromagnetic model when the magnetostriction is absent and the magnitude of magnetization is constant.
being K the anisotropy constant,MS the saturation magnetization,HC the coercive field and V the volume of the individual particles.
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CEO of Professional Science Editing for Scientists @ prosciediting.com