Results 121 to 130 of about 2,072 (165)
Some of the next articles are maybe not open access.
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
exaly +3 more sources
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
openaire +1 more source
On Corner Singularities in Micromagnetics
physica status solidi (a), 1998The magnetization distribution in the vicinity of a sharp square edge is investigated analytically, in two and three dimensions. The aim of this calculation is to investigate the consequences of the logarithmic divergence of some components of the demagnetizing field at this point, in order to understand better some recent numerical calculations by ...
Thiaville, A., Tomáš, D., Miltat, J.
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +3 more sources
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.
openaire +3 more sources
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.
openaire +1 more source
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.
openaire +1 more source
2001
Abstract In this chapter and the next one, various topics in micromagnetics, outside the nucleation problem, will be described. The subdivision into analytic and numerical studies in the two chapters is rather artificial and quite arbitrary.
openaire +1 more source
Abstract In this chapter and the next one, various topics in micromagnetics, outside the nucleation problem, will be described. The subdivision into analytic and numerical studies in the two chapters is rather artificial and quite arbitrary.
openaire +1 more source