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In this work, we study the stochastic thermodynamics of micro-magnetic systems. We first formulate the stochastic dynamics of micro-magnetic systems by incorporating noises into Landau-Lifshitz (LL) equation, which describes the…

Statistical Mechanics · Physics 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

Precise modeling of the magnetization dynamics of nanoparticles with finite size effects at fast varying temperatures is a computationally challenging task. Based on the Landau-Lifshitz-Bloch (LLB) equation we derive a coarse grained model…

Materials Science · Physics 2019-08-07 Christoph Vogler , Claas Abert , Florian Bruckner , Dieter Suess

We propose a three-dimensional micromagnetic model that dynamically solves the Landau-Lifshitz-Gilbert equation coupled to the full spin-diffusion equation. In contrast to previous methods, we solve for the magnetization dynamics and the…

A formulation for thermal noise in the stochastic form of the Landau Lifshitz Bloch equation used for modeling the magnetization dynamics at elevated temperatures is presented. The diffusion coefficients for thermal fluctuations are…

Statistical Mechanics · Physics 2021-09-16 Marco Menarini , Vitaliy Lomakin

A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermo-magnetic coupling. To allow conceptually efficient computer implementation, inspired by relaxation method of…

Analysis of PDEs · Mathematics 2013-02-06 Barbora Benešová , Martin Kružík , Tomáš Roubíček

The dynamical equation of the magnetization has been reconsidered with enlarging the phase space of the ferromagnetic degrees of freedom to the angular momentum. The generalized Landau-Lifshitz-Gilbert equation that includes inertial terms,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. -C. Ciornei , J. M. Rubí , J. -E. Wegrowe

A multi-scale finite-temperature micromagnetic model is presented, based on the Landau-Lifshitz equation and the Bernoulli differential equation. This model accurately reproduces classic Maxwell magnetostatics of paramagnets for high…

Materials Science · Physics 2026-05-29 R. Kiefe , J. S. Amaral

The theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick's and Fourier's laws in the deformed (Eulerian) configuration, respectively. The concepts of nonlocal nonsimple materials and viscous…

Mathematical Physics · Physics 2018-05-09 Tomas Roubicek , Giuseppe Tomassetti

We consider a small metallic particle (quantum dot) where ferromagnetism arises as a consequence of Stoner instability. When the particle is connected to electrodes, exchange of electrons between the particle and the electrodes leads to a…

Mesoscale and Nanoscale Physics · Physics 2009-03-30 D. M. Basko , M. G. Vavilov

In conventional micromagnetism magnetic domain configurations are calculated based on a continuum theory for the magnetization which is assumed to be of constant length in time and space. Dynamics is usually described with the…

Materials Science · Physics 2008-05-05 O. Chubykalo-Fesenko , U. Nowak , R. W. Chantrell , D. Garanin

A robust and efficient model for investigating the ultrafast dynamics of magnetic materials excited by laser pulses has been created, integrating dynamic Landau-Lifshitz-Bloch equations with a quantum thermostat and a two-temperature model.…

Mesoscale and Nanoscale Physics · Physics 2025-10-16 Mouad Fattouhi , Pascal Thibaudeau , Liliana D. Buda-Prejbeanu

We present a simple simulation model for analysing magnetic and frictional losses of magnetic nano-particles in viscous fluids subject to alternating magnetic fields. Assuming a particle size below the single-domain limit, we use a…

Atomic and Molecular Clusters · Physics 2023-03-01 Santiago Helbig , Claas Abert , Pedro A. Sánchez , Sofia S. Kantorovich , Dieter Suess

We derive an equilibrium statistical theory for the macroscopic description of a ferromagnetic material at positive finite temperatures. Our formulation describes the most-probable equilibrium macrostates that yield a coherent deterministic…

Materials Science · Physics 2007-05-23 Markos A. Katsoulakis , Petr Plechac

The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates. The Landau theory applies for ferro-to-para-magnetic phase transition, the gradient theory (leading…

Analysis of PDEs · Mathematics 2023-02-07 Tomáš Roubíček

In this work, we are interested in the behaviour of a single ferromagnetic mono--domain particle submitted to an external field with a stochastic perturbation. This model is a step toward the mathematical understanding of thermal effects on…

Probability · Mathematics 2016-06-27 Stéphane Labbé , Jérôme Lelong

We study quantum antiferromagnetic Heisenberg models on a hypercubic lattice. We prove the following three theorems without any assumption: (i) The spontaneous magnetization which is obtained by applying the infinitesimally weak symmetry…

Mathematical Physics · Physics 2020-05-12 Tohru Koma

We propose a modified RKKY-technique to evaluate the magnetic properties of the ferromagnetic Kondo-lattice model. Together with a previously developed selfenergy approach to the conduction electron part of the model we get a closed system…

Strongly Correlated Electrons · Physics 2009-11-07 C. Santos , W. Nolting

We use the Kondo lattice model to investigate the possibility of ferromagnetism and half-metallicity in local moment systems. Using the spectral density approach and making use of the fact that the spontaneous magnetization of local moment…

Materials Science · Physics 2015-05-28 L. Haritha , G. Gangadhar Reddy , A. Ramakanth

We revisit the problem of spontaneous magnetization of the one-dimensional Ising model from the Landau free energy perspective. To this end, we define and calculate the density of states of the one-dimensional Ising model following a…

Statistical Mechanics · Physics 2026-05-29 Z. F. Zheng , R. K. Lin , J. M. Zhang

Within the two-flavor Nambu--Jona-Lasinio model, we derive a self-consistent thermodynamic potential $\Omega$ for a QCD matter in an external magnetic field $B$. To be consistent with Schwinger's renormalization spirit, counter terms with…

High Energy Physics - Phenomenology · Physics 2023-05-24 Gaoqing Cao , Jianing Li
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