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Static and dynamic properties of magnetically soft amorphous ferromagnets have been studied analytically and numerically within random-field and random-anisotropy models. External field and coherent anisotropy that are weak compared to…

Materials Science · Physics 2025-02-14 Eugene M. Chudnovsky , Dmitry A. Garanin

Finite difference based micromagnetic simulations are a powerful tool for the computational investigation of magnetic structures. In this paper, we demonstrate how the discretization of continuous micromagnetic equations introduces a…

Materials Science · Physics 2024-12-17 Samuel J. R. Holt , Andrea Petrocchi , Martin Lang , Swapneel A. Pathak , Hans Fangohr

Magneto-active elastomers (MAEs) are composite materials comprising an elastomer matrix with embedded magnetic particles, endowing the composite with coupled effective magneto-mechanical responses. It is widely reported that anisotropic…

Materials Science · Physics 2025-04-17 Connor D. Pierce , Kathryn H. Matlack

To model ferromagnetic material in finite element analysis a correct description of the constitutive relationship (BH-law) must be found from measured data. This article proposes to use the energy density function as a centrepiece. Using…

Mathematical Physics · Physics 2012-12-21 Jens Krause

Using the conventional approach of superposing plane waves, it is not possible to create a strictly isotropic turbulent magnetic field structure that obeys all physical constraints, which are (i) equal mean of all magnetic field components;…

Computational Physics · Physics 2013-06-17 R. C. Tautz

The energetics of thin elongated ferromagnetic nano-islands is considered for some different shapes, aspect ratios, and applied magnetic field directions. These nano-island particles are important for artificial spin-ice materials. For low…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 G. M. Wysin , W. A. Moura-Melo , L. A. S. Mól , A. R. Pereira

In this paper a systematic approach to the design of bulk isotropic magnetic metamaterials is presented. The role of the symmetries of both the constitutive element and the lattice are analyzed. For this purpose it is assumed that the…

Optics · Physics 2014-09-10 J. D. Baena , L. Jelinek , R. Marques

The desired result of magnetic anisotropy investigations is the determination of value(s) of various anisotropy constant(s). This is sometimes difficult, especially when the precise knowledge of saturation magnetization is required, as it…

Classical Physics · Physics 2013-12-30 Marek W. Gutowski

We present a method to compute the magnetic moment of a bulk, finite-size, three-dimensional, anisotropic superconductor. Our numerically implemented perturbative procedure is based on a solution of the nonlinear Maxwell- London equations,…

Superconductivity · Physics 2009-10-30 Igor Zutic , Oriol T. Valls

This work features the optimization of a Permanent Magnet Synchronous Motor using 2D nonlinear simulations in an Isogeometric Analysis framework. The rotor and stator designs are optimized for both geometric parameters and surface shapes…

Optimization and Control · Mathematics 2026-05-19 Michael Wiesheu , Theodor Komann , Melina Merkel , Sebastian Schöps , Stefan Ulbrich , Idoia Cortes Garcia

The exact solution of the two-dimensional (2D) Ising model at an external magnetic field is derived by a modified Clifford algebraic approach. At first, the transfer matrices are analyzed in three representations, i.e., Clifford algebraic…

General Physics · Physics 2026-03-12 Zhidong Zhang

We discuss numerical and theoretical results for models of magnetization switching in nanoparticles and ultrathin films. The models and computational methods include kinetic Ising and classical Heisenberg models of highly anisotropic…

Materials Science · Physics 2007-05-23 Per Arne Rikvold , Gregory Brown , Steven J. Mitchell , M. A. Novotny

The present article concludes that a ferromagnetic sample could be considered like a paramagnetic system where the role of magnetic moments plays magnetic domains. Based on this conclusion and taking into account presence of an anisotropic…

Materials Science · Physics 2016-07-18 R. Khachaturyan , V. Mekhitarian

The coercive field of permanent magnets decays with temperature. At non-zero temperature the system can overcome a finite energy barrier through thermal fluctuations. Using finite element micromagnetic simulations, we quantify this effect,…

Materials Science · Physics 2016-03-29 Simon Bance , Johann Fischbacher , Alexander Kovacs , Harald Oezelt , Franz Reichel , Thomas Schrefl

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

We consider various sets of Vlasov-Fokker-Planck equations modeling the dynamics of charged particles in a plasma under the effect of a strong magnetic field. For each of them in a regime where the strength of the magnetic field is…

Analysis of PDEs · Mathematics 2020-06-30 Maxime Herda , Luis Miguel Rodrigues

Magnetic nanoparticle hyperthermia is an attractive emerging cancer treatment, but the acting microscopic energy deposition mechanisms are not well understood and optimization suffers. We describe several approximate forms for the…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Daniel B. Reeves , John B. Weaver

The purpose of the present paper is to provide an overview of Asymptotic-Preserving methods for multiscale plasma simulations by addressing three singular perturbation problems. First, the quasi-neutral limit of fluid and kinetic models is…

Plasma Physics · Physics 2017-04-05 Pierre Degond , Fabrice Deluzet

Using zero temperature Monte Carlo simulations we have studied the magnetic hysteresis in a three-dimensional Ising model with nearest neighbor exchange and dipolar interaction. The average magnetization of spins located inside a sphere on…

Condensed Matter · Physics 2009-10-31 Gyorgy Szabo , Gyorgy Kadar

We show how the spontaneous bulk, surface and corner magnetizations in the square lattice Ising model can all be obtained within one approach. The method is based on functional equations which follow from the properties of corner transfer…

Statistical Mechanics · Physics 2009-10-28 Brian Davies , Ingo Peschel