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Using Monte Carlo simulations we study the phase ordering dynamics of a \textit{multi}-species system modeled via the prototype $q$-state Potts model. In such a \textit{multi}-species system, we identify a spin states or species as the…

Statistical Mechanics · Physics 2023-03-29 Suman Majumder

We use simple models (the Ising model in one and two dimensions, and the spherical model in arbitrary dimension) to put to the test some recent ideas on the slow dynamics of nonequilibrium systems. In this review the focus is on the…

Statistical Mechanics · Physics 2009-11-07 C. Godreche , J. M. Luck

The dynamic phase transition has been studied in the two dimensional kinetic Ising model in presence of a time varying (sinusoidal) magnetic field by Monte Carlo simulation. The nature (continuous or discontinuous) of the transition is…

Statistical Mechanics · Physics 2009-10-31 Muktish Acharyya

Images of surface topography of ultrathin magnetic films have been used for Monte Carlo simulations in the framework of the ferromagnetic Ising model to study the hysteresis and thermal properties of nanomaterials. For high performance…

Materials Science · Physics 2015-03-20 V. Yu. Kapitan , K. V. Nefedev

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. N. Timonin

We derive the equilibrium phase diagram of the classical dipolar Ising antiferromagnet at the mean-field level on a geometry that mimics the two dimensional Kagome lattice. Our mean-field treatment is based on the combination of the cluster…

Statistical Mechanics · Physics 2020-05-20 Leticia F. Cugliandolo , Laura Foini , Marco Tarzia

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

We investigate the phase structure of the random-field Ising model with a bimodal random field distribution. Our aim is to test for the possibility of an equilibrium spin-glass phase, and for replica symmetry breaking (RSB) within such a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jairo Sinova , Geoff Canright

The dualism between superconductivity and charge/spin modulations (the so-called stripes) dominates the phase diagram of many strongly-correlated systems. A prominent example is given by the Hubbard model, where these phases compete and…

Strongly Correlated Electrons · Physics 2019-08-14 Luca F. Tocchio , Arianna Montorsi , Federico Becca

Minimally stable site (MSS) clusters play a dominant role in shaping avalanches in the self-organized critical (SOC) systems. The manipulation of MSS clusters through local smoothings (diffusion) alter the MSS landscape, suppressing rare…

Statistical Mechanics · Physics 2025-02-26 Armin Makani , Morteza Nattagh Najafi

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

Statistical Mechanics · Physics 2015-03-13 Juan J. Alonso

Measurements of the ac magnetic susceptibility of perpendicularly magnetized Fe/2ML Ni/W(110) ultrathin films show a clear signature of the dynamics of domain growth and domain density changes in the striped domain pattern that this system…

Materials Science · Physics 2015-05-18 N. Abu-Libdeh D. Venus

We study the three-dimensional system of magnetic nanoparticle dipoles randomly oriented along quenched easy axes. Directions of the magnetic momenta are described by the Ising variables which allow the momenta to flip along their random…

Disordered Systems and Neural Networks · Physics 2010-09-17 Victor Dotsenko

We numerically examine the properties of a two-dimensional system of particles which have competing long range repulsive and short range attractive interactions as a function of density and temperature. For increasing density, there are…

Soft Condensed Matter · Physics 2015-05-18 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

The nature of the zero temperature ordering transition in the 3D Gaussian random field Ising magnet is studied numerically, aided by scaling analyses. In the ferromagnetic phase the scaling of the roughness of the domain walls, $w\sim…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton , Daniel S. Fisher

Frustrated itinerant magnets often exhibit complex noncollinear or noncoplanar magnetic orders which support topological electronic structures. A canonical example is the anomalous quantum Hall state with a chiral spin order stabilized by…

Strongly Correlated Electrons · Physics 2024-03-19 Yunhao Fan , Sheng Zhang , Gia-Wei Chern

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density…

Statistical Mechanics · Physics 2012-02-13 Demian Levis , Leticia F. Cugliandolo

We describe a novel type of magnetic domain wall which, in contrast to Bloch or Neel walls, is non-localized and, in a certain temperature range, non-monotonic. The wall appears as the mean-field solution of the two-dimensional…

Statistical Mechanics · Physics 2008-03-31 Alessandro Vindigni , Niculin Saratz , Oliver Portmann , Danilo Pescia , Paolo Politi

Using Monte Carlo simulations we study the dynamics of three-dimensional Ising models with nearest-, next-nearest-, and four-spin (plaquette) interactions. During coarsening, such models develop growing energy barriers, which leads to very…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston , D. Espriu