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This paper investigates the time-optimal control problem for the Landau-Lifshitz-Bloch (LLB) equation, a macroscopic model that characterizes magnetization dynamics in ferromagnetic materials across a wide temperature range, including near…

Optimization and Control · Mathematics 2025-12-22 Sidhartha Patnaik , Kumarasamy Sakthivel

The magnetism is an old problem of Physics. Most interesting part of the research on magnetism is its thermodynamic behaviour. In this review, the thermodynamic phase transitions, mainly in ferromagnetic model systems, are discussed. The…

Statistical Mechanics · Physics 2023-11-21 Olivia Mallick , Muktish Acharyya

A macroscopic equation of motion for the magnetization of a ferromagnet at elevated temperatures should contain both transverse and longitudinal relaxation terms and interpolate between Landau-Lifshitz equation at low temperatures and the…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

Computational studies of the thermodynamic properties of materials at the mesoscopic and macroscopic scales -- involving lengths and times of at least $\mu$m and $\mu$s, respectively -- rely on a coarse-graining approximation such that only…

Materials Science · Physics 2026-05-12 Mauro Pulzone , Iñigo Robredo-Magro , Jorge Íñiguez-González

The current theoretical and experimental situation is reviewed for low-dimensional (layered and chain-like) insulating systems. Such systems possess a low magnetic transition temperature $T_M$ and pronounced short-range magnetic order above…

Strongly Correlated Electrons · Physics 2021-02-17 A. A. Katanin , V. Yu. Irkhin

Linear magnetization dynamics in the presense of a thermal bath is analyzed for two general classes of microscopic damping mechanisms. The resulting stochastic differential equations are always in the form of a damped harmonic oscillator…

Statistical Mechanics · Physics 2007-05-23 Vladimir L. Safonov , H. Neal Bertram

The Landau--Lifshitz--Baryakhtar (LLBar) and the Landau--Lifshitz--Bloch (LLBloch) equations are nonlinear vector-valued PDEs which arise in the theory of micromagnetics to describe the dynamics of magnetic spin field in a ferromagnet at…

Numerical Analysis · Mathematics 2025-05-27 Agus L. Soenjaya

An energy based stochastic model for temperature dependent anhysteretic magnetization curves of ferromagnetic materials is proposed and bench marked against experimental data. This is based on the calculation of macroscopic magnetic…

Materials Science · Physics 2016-12-30 Sanjay Sah , Jayasimha Atulasimha

In the band theory of ferromagnetism there is a relative shift in the position of majority and minority spin bands due to the self-consistent field due to opposite spin electrons. In the simplest realization, the Stoner model, the majority…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

The linear response of itinerant transition metal ferromagnets to transverse magnetic fields is studied in a self-consistent adiabatic local-density approximation. The susceptibility is calculated from a microscopic Hamiltonian, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hans Joakim Skadsem , Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

We present a general formalism for deriving the thermodynamics of ferromagnets consisting of "atoms" carrying an arbitrary irreducible representation of $SU(N)$ and coupled through long-range two-body quadratic interactions. Using this…

High Energy Physics - Theory · Physics 2025-07-08 Alexios P. Polychronakos , Konstantinos Sfetsos

We study the magnetism in the periodic Anderson model in the limit of large dimensions by mapping the lattice problem into an equivalent local impurity self-consistent model. Through a recently introduced algorithm based on the exact…

Condensed Matter · Physics 2009-10-28 Marcelo J. Rozenberg

The Hubbard model on fcc-type lattices is studied in the dynamical mean-field theory of infinite spatial dimensions. At intermediate interaction strength finite temperature Quantum Monte Carlo calculations yield a second order phase…

Strongly Correlated Electrons · Physics 2009-10-30 Martin Ulmke

Current-induced magnetization dynamics in a trilayer structure composed of two ferromagnetic free layers and a nonmagnetic spacer is examined. Both free layers are treated as a monodomain magnetic body with an uniform agnetization. The…

Materials Science · Physics 2009-11-11 Kiwamu Kudo , Rie Sato , Koichi Mizushima

We derive the Landau-Lifshitz-Bloch (LLB) equation for a two-component magnetic system valid up to the Curie temperature. As an example, we consider disordered GdFeCo ferrimagnet where the ultrafast optically induced magnetization switching…

Materials Science · Physics 2016-11-11 U. Atxitia , P. Nieves , O. Chubykalo-Fesenko

Following the demonstration of laser-induced ultrafast demagnetization in ferromagnetic nickel, several theoretical and phenomenological propositions have sought to uncover its underlying physics. In this work we revisit the three…

Strongly Correlated Electrons · Physics 2023-03-29 Suchetana Mukhopadhyay , Sudip Majumder , Surya Narayan Panda , Anjan Barman

We present a many-body approach to the electronic and magnetic properties of the (multiband) Kondo-lattice model with ferromagnetic interband exchange. The coupling between itinerant conduction electrons and localized magnetic moments…

Strongly Correlated Electrons · Physics 2009-11-10 W. Nolting , W. Müller , C. Santos

In metals with finite magnetization $\vec{M}$, experiment shows that transverse polarized dc spin currents $\vec{J}_{i}$ both decay and precess on crossing a finite sample thickness. The present work uses Onsager's irreversible…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Chen Sun , Wayne M. Saslow

In order to study the dependence of the coercive force of sintered magnets on temperature, nucleation and domain wall propagation at the grain boundary are studied as rate-determining processes of the magnetization reversal phenomena in…

Materials Science · Physics 2021-06-30 Sasmita Mohakud , Sergio Andraus , Masamichi Nishino , Akimasa Sakuma , Seiji Miyashita