Results 131 to 140 of about 361 (179)
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A Duality Method for Micromagnetics
SIAM Journal on Mathematical Analysis, 2010We present a new method for micromagnetics based on replacing the nonlocal total energy of magnetizations by a new local energy for divergence-free fields and then studying the dual Legendre functional of this new energy restricted on gradient fields. We establish a Fenchel-type duality principle relevant to the minimization for these problems.
Pablo Pedregal Tercero, Baisheng Yan
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Variational Principles of Micromagnetics Revisited [PDF]
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution to the energy, which is intrinsically non-local. Under minimal assumptions, we establish three distinct variational principles for the stray field energy: a minimax ...
Cyrill Muratov +2 more
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Journal of Nonlinear Science, 2018
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Richard James, Vivekanand Dabade
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard James, Vivekanand Dabade
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Robotica, 1996
SUMMARYRecent topics in the development of micromagneticactuators in Japan are reviewed. Electromagneticmicroactuators less than 1 mm in diameter, e.g.micromotor, and microvalves have been fabricated andtheir high performance has been demonstrated.
Kenichi Arai, Takashi Honda
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SUMMARYRecent topics in the development of micromagneticactuators in Japan are reviewed. Electromagneticmicroactuators less than 1 mm in diameter, e.g.micromotor, and microvalves have been fabricated andtheir high performance has been demonstrated.
Kenichi Arai, Takashi Honda
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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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