Geodesic
A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 1, pp. 64-69.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new approach to determination of the equilibrium magnetization in discrete model of a ferromagnetic is presented. Solving this problem is reduced to a system of linear inhomogeneous equations with Lagrange multipliers. The possibility of finding the numerical solutions of such systems is shown by applying of a modified power method. The efficiency of this approach is proved by examples of modelling magnetic microstructure and magnetization reversal process in a nanostructured thin magnetic film.
Keywords: micromagnetics, numerical analysis, magnetic hysteresis, magnetic domains
Mots-clés : nanostructures. 
@article{JSFU_2010_3_1_a4,
     author = {Andrey V. Izotov and Boris A. Belyaev and Andrey A. Leksikov},
     title = {A {New} {Approach} to {Determination} of {Equilibrium} {Magnetization} in {Magnetic} {Nanostructures}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {64--69},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_1_a4/}
}
TY  - JOUR
AU  - Andrey V. Izotov
AU  - Boris A. Belyaev
AU  - Andrey A. Leksikov
TI  - A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 64
EP  - 69
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_1_a4/
LA  - en
ID  - JSFU_2010_3_1_a4
ER  - 
%0 Journal Article
%A Andrey V. Izotov
%A Boris A. Belyaev
%A Andrey A. Leksikov
%T A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 64-69
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_1_a4/
%G en
%F JSFU_2010_3_1_a4
Andrey V. Izotov; Boris A. Belyaev; Andrey A. Leksikov. A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 1, pp. 64-69. http://geodesic.mathdoc.fr/item/JSFU_2010_3_1_a4/

[1] M. Kisielewski, A. Maziewski, V. Zablotskii, W. Stefanowicz, “Micromagnetic simulations and analytical description of magnetic configurations in nanosized magnets”, Physica B, 372 (2006), 316 | DOI

[2] D. S. Il'yushchenkov, V. I. Kozub, I. N. Yassievich, “Domain formation in films of magnetic nanoparticles with a random distribution of anisotropy axes”, Physics of the Solid State, 49:10 (2007), 1944 | DOI

[3] K. M. Lebecki, O. Kazakova, M. W. Gutowski, “Micromagnetic simulations of hysteresis in an array of cobalt nanotubes”, Physica B, 403 (2008), 360 | DOI

[4] W. Scholz, D. Suess, T. Schrefl, J. Fidler, “Micromagnetic simulation of magnetization reversal in small particles with surface anisotropy”, J. Appl. Phys, 95:11 (2004), 6807 | DOI

[5] M. Grimsditch, L. Giovannini, F. Monotcello, F. Nizzoli, G. K. Leaf, H. G. Kaper, “Magnetic normal modes in ferromagnetic nanoparticles: A dynamical matrix approach”, Phys. Rev. B, 70 (2004), 054409 | DOI

[6] K. Rivkin, J. B. Ketterson, “Micromagnetic simulations of absoption spectra”, J. Magn. Magn. Mater., 306 (2006), 204 | DOI

[7] D. V. Berkov, N. L. Gorn, “Numerical Simulationof Quasistatic and Dynamic Remagnetization Processes with Special Applications to Thin Films and Nanoparticles”, Handbook of Advanced Magnetic Materials, 2, Springer, 2006, 421

[8] I. Cimrak, “A survey on the numerics and computations for the Landau–Lifshitz equation of micromagnetism”, Arch. Comput. Methods Eng., 15 (2008), 277 | DOI | MR | Zbl

[9] K. Rivkin, A. Heifetz, P. R. Sievert, J. B. Ketterson, “Resonant modes of dipole-coupled lattices”, Phys. Rev. B, 70 (2004), 184410 | DOI