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We study computational behavior of a mesoscopic model describing temperature/external magnetic field-driven evolution of magnetization. Due to nonconvex anisotropy energy describing magnetic properties of a body, magnetization can develop…

Numerical Analysis · Mathematics 2016-11-22 Martin Kružík , Jan Valdman

A thermodynamically consistent model for soft deformable viscoelastic magnets is formulated in actual space (Eulerian) coordinates. The possibility of a ferro-paramagnetic-type (or ferri-antiferromagnetic) transition exploiting Landau phase…

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

In this letter, we provide a microscopic model for the ultrafast remagnetization of atomic moments already quenched above Stoner-Curie temperature by a strong laser fluence. Combining first principles density functional theory, atomistic…

Materials Science · Physics 2015-06-11 Raghuveer Chimata , Anders Bergman , Lars Bergqvist , Biplab Sanyal , Olle Eriksson

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

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

In this work, a self-consistent thermodynamic approach to micromagnetism is presented. The magnetic degrees of freedom are modeled using the Landau-Lifshitz-Baryakhtar theory, that separates the different contributions to the magnetic…

Materials Science · Physics 2014-10-29 Mykola Dvornik , Arne Vansteenkiste , Bartel Van Waeyenberge

Moist thermodynamics is a fundamental driver of atmospheric dynamics across all scales, making accurate modeling of these processes essential for reliable weather forecasts and climate change projections. However, atmospheric models often…

Atmospheric and Oceanic Physics · Physics 2024-11-18 Kieran Ricardo , David Lee , Kenneth Duru

We propose a topological approach suitable to establish a connection between thermodynamics and topology in the microcanonical ensemble. Indeed, we report on results that point to the possibility of describing {\it interacting classical…

Statistical Mechanics · Physics 2017-02-01 F A N Santos , L C B da Silva , M D Coutinho-Filho

Using numerical and analytical methods implemented for different models we conduct a systematic study of thermodynamic properties of pairing correlation in mesoscopic nuclear systems. Various quantities are calculated and analyzed using the…

Nuclear Theory · Physics 2008-11-26 Tony Sumaryada , Alexander Volya

A magneto-mechanical static modeling of ferromagnetic particle based on minimization of an energy function is presented. This modeling is made of a conjugate gradient method coupled with finite element method for the mechanical problem…

Classical Physics · Physics 2013-08-27 Frederick Mballa Mballa , Olivier Hubert , Song He , Sophie Depeyre , Philip Meilland

This work presents a rigorous prediction of the effective equations governing the paramagnetic-ferromagnetic phase transition in a perforated three-dimensional body. Assuming a periodic distribution of perforations, we investigate the…

Analysis of PDEs · Mathematics 2025-08-29 Catherine Choquet , Mohamed Ouhadan , Mouhcine Tilioua

In the first of two articles, we present here a novel mesoscopic micromagnetic approach for simulating materials composed of ferromagnetic and antiferromagnetic phases. Starting with the atomistic modeling of quasi one-dimensional systems,…

Materials Science · Physics 2023-10-02 Sergey Erokhin , Dmitry Berkov , Andreas Michels

We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow…

Analysis of PDEs · Mathematics 2024-10-22 Barbora Benešová , Šárka Nečasová , Jan Scherz , Anja Schlömerkemper

To demonstrate the implication of the recent important theorem by Roos, Teufel, Tumulka, and Vogel [1] in a simple but nontrivial example, we study thermalization in the two-dimensional Ising model in the low-temperature phase. We consider…

Statistical Mechanics · Physics 2024-09-17 Hal Tasaki

A tight-binding model of electron dynamics in mesoscopic normal rings is studied using boundary conformal field theory. The partition function is calculated in the low energy limit and the persistent current generated as a function of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Jaimungal , M. H. S. Amin , G. Rose

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

The thermodynamic model of visco-elastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates with the aim to describe thermoremanent paleomagnetism in crustal rocks. The Landau theory applied to a…

Geophysics · Physics 2023-11-07 Tomáš Roubíček

We provide a model for the prediction of the electronic and magnetic configurations of ferromagnetic Fe after an ultrafast decrease or increase of magnetization. The model is based on the well-grounded assumption that, after the ultrafast…

Materials Science · Physics 2016-07-26 I. L. M. Locht , I. Di Marco , S. Garnerone , A. Delin , M. Battiato

The mechanisms of thermally activated magnetization switching in small ferromagnetic particles driven by an external magnetic field are investigated. For low uniaxial anisotropy the spins rotate coherently while for sufficiently large…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , D. Hinzke

We study the N-dependence of the thermodynamical variables and the dynamical behavior of the well-known Hamiltonian Mean Field model. Microcanonical analysis revealed a thermodynamic limit which defers from the a priory traditional…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , R. Sospedra , J. C. Castro , F. Guzman
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