Посилання:The classical two-sublattice Landau–Lifshitz–Bloch equation for all temperatures / P. Nieves, U. Atxitia, R.W. Chantrell, O. Chubykalo-Fesenko // Физика низких температур. — 2015. — Т. 41, № 9. — С. 949–955. — Бібліогр.: 39 назв. — англ.
Підтримка:This work was supported by the EU Seventh Framework
Programme FP7/2007-2013 under grant agreement
No. 281043, FEMTOSPIN. P.N. and O.C-F also acknowledge
support from the Spanish Ministry of Economy and
Competitiveness under the grant MAT2013-47078-C2-2-P.
U.A. acknowledges support from the European Community’s
Seventh Framework Programme (FP7/2007-2013) under
the Curie Zukunftskolleg Incoming Fellowship Programme
(Grant No. 291784), University of Konstanz.
Micromagnetic modeling has proved itself as a widely used tool, complimentary in many respects to experimental
measurements. The Landau–Lifshitz equation provides a basis for this modeling, especially where the
dynamical behaviour is concerned. However, this approach is strictly valid only for zero temperature and for
high temperatures must be replaced by a more thermodynamically consistent approach such as the the Landau–
Lifshitz–Bloch (LLB) equation. Here we review the recently derived LLB equation for two-sublattice systems
and extend its derivation for temperatures above the Curie temperature. We present comparison with many-body
atomistic simulations and show that this equation can describe the ultra-fast switching in ferrimagnets, observed
experimentally