2017
DOI: 10.1063/1.4976950
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Magnetization reversal processes of isotropic permanent magnets with various inter-grain exchange interactions

Abstract: We performed a large-scale micromagnetics simulation on a supercomputing system to investigate the properties of isotropic nanocrystalline permanent magnets consisting of cubic grains. In the simulation, we solved the Landau–Lifshitz–Gilbert equation under a periodic boundary condition for accurate calculation of the magnetization dynamics inside the nanocrystalline isotropic magnet. We reduced the inter-grain exchange interaction perpendicular and parallel to the external field independently. Propagation of t… Show more

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Cited by 5 publications
(4 citation statements)
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“…In nonlinear conjugate gradient methods the search directions are linear combinations of vectors perpendicular to the magnetization (the current projected gradient and the previous search directions initially being the projected gradient). Instead of updating and normalization, the vectors m i might also be rotated by an angle α |d i | [66] or a norm conserving semi-implicit update rule [67] may be applied. The right-hand side of equation ( 22) follows from the vector identity a×(b…”
Section: Energy Minimizationmentioning
confidence: 99%
See 1 more Smart Citation
“…In nonlinear conjugate gradient methods the search directions are linear combinations of vectors perpendicular to the magnetization (the current projected gradient and the previous search directions initially being the projected gradient). Instead of updating and normalization, the vectors m i might also be rotated by an angle α |d i | [66] or a norm conserving semi-implicit update rule [67] may be applied. The right-hand side of equation ( 22) follows from the vector identity a×(b…”
Section: Energy Minimizationmentioning
confidence: 99%
“…In turn, fast reversal reduces the total computation time. This is the motivation for using a damping parameter α = 1 for simulation of magnetization reversal in permanent magnets [66,72] by numerical integration of equation (25). Several public domain micromagnetic software tools use solvers for the numerical solution of equation ( 25) based on the adaptive Euler methods [73], Runge-Kutta schemes [62], backward-differentiation methods [74], and preconditioned implicit solvers [75].…”
Section: Time Integrationmentioning
confidence: 99%
“…In this study, we investigated magnetization reversal inside a permanent magnet during the demagnetization process and the effects of the microstructure of the permanent magnet on the generation of magnetic nucleation using a large-scale micromagnetics simulation based on the Landau-Lifshitz-Gilbert (LLG) equation [32][33][34][35][36][37][38][39] . When the external field approaches the coercivity of the permanent magnet, magnetization reversal is initiated in some grains; the density of the grains undergoing nucleation is small.…”
Section: Introductionmentioning
confidence: 99%
“…[12][13][14][15] We can perform large-scale micromagnetic simulations employing more than 0.1 billion calculation cells using supercomputing systems. Hence, we can accurately simulate a Author to whom correspondence should be addressed.…”
Section: Introductionmentioning
confidence: 99%