Results 161 to 170 of about 13,575 (212)
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Finite element methods for micromagnetics
IEEE Transactions on Magnetics, 1992T R Koehler
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Physical Review B, 1988
An application of catastrophe theory to the behavior of ferromagnets in the partially magnetized state is presented. Magnetic phase transitions induced by crystal anisotropy are studied with the help of a swallowtail manifold. The morphology of the Brown equations of micromagnetics is discussed and a general method of solution outlined.
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An application of catastrophe theory to the behavior of ferromagnets in the partially magnetized state is presented. Magnetic phase transitions induced by crystal anisotropy are studied with the help of a swallowtail manifold. The morphology of the Brown equations of micromagnetics is discussed and a general method of solution outlined.
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Micromagnetics and Numerical Analysis
Mathematical Models and Methods in Applied Sciences, 1997The structure of domain walls in ferromagnetic crystals is investigated by means of micromagnetics. Moreover, the numerical integration of one-dimensional micromagnetic equations in domain walls is carried out in order to obtain approximate expressions of the energy associated to these regions.
L. Graziano, ROMANO, ANTONIO
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Coarse Graining in Micromagnetics
Physical Review Letters, 2003Numerical solutions of the micromagnetic Landau-Lifshitz-Gilbert equations provide valuable information at low temperatures (T), but produce egregious errors at higher T. For example, Curie temperatures are often overestimated by an order of magnitude.
G, Grinstein, R H, Koch
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Micromagnetics of Cylindrical Particles
Physica Status Solidi (a), 1988A numerical method is given and discussed for some micromagnetic problems. The magnetic behaviour of geometric and magnetic rotationally symmetric particles is investigated here, especially the behaviour of finite cylinders. The numerical method bases on the minimization of the free energy. The minimum problem is transformed into a numerical convenient
J. Ehlert, F. K. Hübner, W. Sperber
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Comment on ‘‘Morphology of micromagnetics’’
Physical Review B, 1991Micromagnetics theory is rigorous within its own framework. Any improvement of it must address the basic assumptions, not the technique.
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Catastrophe Model for Micromagnetics
Physical Review Letters, 1987It is shown that transition at the Curie point and uniaxial crystalline anisotropy exhibit catastrophes which have the same morphology as well-known elementary catastrophes like the cusp and the swallowtail. It is possible to understand micromagnetics as conflict between attractors of dynamical systems.
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Mathematical Models and Methods in Applied Sciences, 2005
We study a thin-shell limit of micromagnetic energy for soft small ferromagnets. The relations between thickness of the magnet t, diameter l and magnetic exchange length w are t/l → 0 and tl/w2 ≲ 1. We prove a Γ-convergence of the original 3D problem to a nonlocal 2D problem.
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We study a thin-shell limit of micromagnetic energy for soft small ferromagnets. The relations between thickness of the magnet t, diameter l and magnetic exchange length w are t/l → 0 and tl/w2 ≲ 1. We prove a Γ-convergence of the original 3D problem to a nonlocal 2D problem.
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2001
Abstract It can be concluded from the last chapter that there is no way to neglect any one of the three energy terms, exchange, anisotropy, and magnetostatic, and all three must be taken into account in any realistic theory of the magnetization processes.
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Abstract It can be concluded from the last chapter that there is no way to neglect any one of the three energy terms, exchange, anisotropy, and magnetostatic, and all three must be taken into account in any realistic theory of the magnetization processes.
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