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Related papers: Domain Growth in Random Magnets

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We study the ordering kinetics in $d=2$ ferromagnets which corresponds to populated neuron activities with long-ranged interactions, $V(r)\sim r^{-n}$ associated with short-ranged interaction. We present the results from comprehensive Monte…

Neurons and Cognition · Quantitative Biology 2015-01-23 Awaneesh Singh , Jasleen Gundh , R. K. Brojen Singh

We study the configurations of the nearest neighbor Ising ferromagnetic chain with IID centered and square integrable external random field in the limit in which the pairwise interaction tends to infinity. The available free energy…

Probability · Mathematics 2025-03-03 Orphée Collin , Giambattista Giacomin , Yueyun Hu

We study the dynamics of a ferromagnetic domain wall driven by an external magnetic field through a disordered medium. The avalanche-like motion of the domain walls between pinned configurations produces a noise known as the Barkhausen…

Statistical Mechanics · Physics 2009-10-31 Stefano Zapperi , Pierre Cizeau , Gianfranco Durin , H. Eugene Stanley

We study numerically the coarsening dynamics of the Ising model on a regular lattice with random bonds and on deterministic fractal substrates. We propose a unifying interpretation of the phase-ordering processes based on two classes of…

Statistical Mechanics · Physics 2015-06-24 Federico Corberi , Eugenio Lippiello , Raffaella Burioni , Alessandro Vezzani , Marco Zannetti

We revisit the description of ferromagnetic domain wall dynamics through an extended one-dimensional model by allowing flexural distortions of the wall during its motion. This is taken into account by allowing the domain wall center and…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Rémy Soucaille , Felipe Garcia-Sanchez , Joo-Von Kim , Thibaut Devolder , Jean-Paul Adam

Ground states and domain walls are investigated with exact combinatorial optimization in two-dimensional random field Ising magnets. The ground states break into domains above a length scale that depends exponentially on the random field…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. T. Seppala , V. Petaja , M. J. Alava

We present results of a Monte Carlo study for the ferromagnetic Ising model with long range interactions in two dimensions. This model has been simulated for a large range of interaction parameter $\sigma$ and for large sizes. We observe…

Statistical Mechanics · Physics 2012-07-06 Marco Picco

Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and…

Soft Condensed Matter · Physics 2009-11-10 Nadav M. Shnerb

Domain patterns are simulated by the Landau-Lifshitz-Gilbert (LLG) equation with an easy-axis anisotropy. If the Gilbert damping is removed from the LLG equation, it merely describes the precession of magnetization with a ferromagnetic…

Statistical Mechanics · Physics 2016-12-23 Kazue Kudo

The interaction of electric field with charged domain walls in ferroelectrics is theoretically addressed. A general expression for the force acting per unit area of a charged domain wall carrying free charge is derived. It is shown that, in…

Materials Science · Physics 2012-01-31 Maxim Y. Gureev , Pavel Mokry , Alexander K. Tagantsev , Nava Setter

Domain wall dynamics in ferromagnets is complicated by internal degrees of freedom of the domain walls. We develop a model of domain walls in disordered thin films with perpendicular magnetic anisotropy capturing such features, and use it…

Statistical Mechanics · Physics 2022-03-08 Audun Skaugen , Lasse Laurson

An overview of the related topics of anomalous coarsening and glassy dynamics is given. In anomalous coarsening, the typical domain size of an ordered phase grows more slowly with time than the power law dependence that is usually observed,…

Statistical Mechanics · Physics 2009-11-07 M. R. Evans

We study the dynamics of ordering in ferromagnets via Monte Carlo simulations of the Ising model, employing the Glauber spin-flip mechanism, in space dimensions $d=2$ and $3$. Results for the persistence probability and the domain growth…

Statistical Mechanics · Physics 2015-01-22 Saikat Chakraborty , Subir K. Das

Ordering processes in fcc-alloys with composition A_3B (like Cu_3Au, Cu_3Pd, CoPt_3 etc.) are investigated by Monte Carlo simulation within a class of lattice models based on nearest-neighbor (NN) and second-neighbor (NNN) interactions.…

Statistical Mechanics · Physics 2015-06-24 Michael Kessler , Wolfgang Dieterich , Andrzej Majhofer

Results of extensive Monte-Carlo simulations that investigate the out-of-equilibrium dynamics of the one-dimensional Ising spin glass model with a Gaussian bond-distribution are presented. At low enough temperatures a typical (interrupted)…

Condensed Matter · Physics 2007-05-23 H. Rieger J. Kisker , M. Schreckenberg

The dynamics of a domain wall in magnetostrictive materials is investigated. The domain wall is modeled by a d-dimensional interface moving in a d+1-dimensional environment. Long-range demagnetization effects and quenched disorder are…

Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

The phase-ordering dynamics that result from domain coarsening are considered for itinerant quantum ferromagnets. The fluctuation effects that invalidate the Hertz theory of the quantum phase transition also affect the phase ordering. For a…

Statistical Mechanics · Physics 2013-05-29 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha

We consider periodic domain structures which appear due to the magnetoelastic interaction if the antiferromagnetic crystal is attached to an elastic substrate. The peculiar behavior of such structures in an external magnetic field is…

Materials Science · Physics 2009-11-11 Efim A. Brener , V. I. Marchenko

We have studied the magnetic relaxation behavior of a two-dimensional Ising ferromagnet by Monte Carlo simulation. Our primary goal is to investigate the effects of the system's geometry (area preserving) , boundary conditions, and…

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

Monte Carlo simulations of a system consisting of a ferromagnetic layer exchange coupled to a diluted antiferromagnetic layer described by a classical spin model show a strong dependence of the exchange bias on the degree of dilution in…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , A. Misra , K. D. Usadel
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