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Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates…

Soft Condensed Matter · Physics 2009-11-07 H. P. Ying , L. Wang , J. B Zhang , M. Jiang , J. Hu

We employ Monte Carlo simulations in order to study dynamics of the magnetization and domain growth processes in the random-field Ising models with uniform and Gaussian random field distributions of varying strengths. Domain sizes are…

Statistical Mechanics · Physics 2023-07-19 S. Hrivňak , M. Žukovič

With Monte Carlo simulations, we study the creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field. We observe the nonlinear fieldvelocity relation, and determine the creep exponent {\mu}. To…

Disordered Systems and Neural Networks · Physics 2015-06-11 R. H. Dong , B. Zheng , N. J. Zhou

Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme…

Condensed Matter · Physics 2009-10-30 M. P. Nightingale , H. W. J. Bloete

The nonequilibrium magnetic domain structure of growing ultrathin ferromagnetic films with a realistic atomic structure is studied as a function of coverage and temperature. We apply a kinetic Monte Carlo method to a micromagnetic model…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Brinzanik , P. J. Jensen , K. H. Bennemann

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

Statistical Mechanics · Physics 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

The critical behavior in the short-time dynamics for the random-bond Potts ferromagnet in two-dimensions is investigated by short-time dynamic Monte Carlo simulations. The numerical calculations show that this dynamic approach can be…

Soft Condensed Matter · Physics 2009-10-31 He-Ping Ying , Kenji Harada

The elastic interaction between kinks (and antikinks) within domain walls plays a pivotal role in shaping the domain structure, and their dynamics. In bulk materials, kinks interact as elastic monopoles, dependent on the distance between…

Mesoscale and Nanoscale Physics · Physics 2024-11-04 John J R Scott , Guangming Lu , Brian J. Rodriguez , Ian MacLaren , Ekhard K. H. Salje , Miryam Arredondo

The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero…

adap-org · Physics 2016-08-16 G. Grinstein , M. A. Muñoz , Yuhai Tu

We present a generic reweighting method for nonequilibrium Markov processes. With nonequilibrium Monte Carlo simulations at a single temperature, one calculates the time evolution of physical quantities at different temperatures, which…

Statistical Mechanics · Physics 2009-11-10 Hwee Kuan Lee , Yutaka Okabe

Using Monte Carlo simulations, we systematically investigate the non-equilibrium dynamics of the chiral degree of freedom in the two-dimensional fully frustrated XY model. The critical initial increase of the staggered chiral magnetization…

Soft Condensed Matter · Physics 2009-10-31 H. J. Luo , L. Schuelke , B. Zheng

We perform numerical simulations to study static and dynamic critical behaviour of the 3d random-site Ising model. A distinct feature of our approach is a combination of the Metropolis, Swendsen-Wang, and Wolff Monte Carlo algorithms. For…

Disordered Systems and Neural Networks · Physics 2009-04-03 D. Ivaneyko , J. Ilnytskyi , B. Berche , Yu. Holovatch

Current-driven vortex wall dynamics is studied by means of a two-dimensional analytical model and micromagnetic simulation. By constructing a trial function for the vortex wall in the magnetic wire, we analytically solve for domain wall…

Materials Science · Physics 2009-11-11 Jiexuan He , Zhanjie Li , Shufeng Zhang

Recently, the present authors proposed the nonequilibrium-to-equilibrium scaling (NE-ES) scheme for critical Monte Carlo relaxation process, which scales relaxation data in the whole simulation-time regions regardless of functional forms,…

Statistical Mechanics · Physics 2020-11-19 Yoshihiko Nonomura , Yusuke Tomita

In supercooled liquids, mesoscale mobile and immobile domains are ubiquitously observed, a phenomenon known as dynamical heterogeneity. Extensive studies have established that the characteristic size of these domains grows upon cooling and…

Soft Condensed Matter · Physics 2026-04-07 Norihiro Oyama , Yusuke Hara , Takeshi Kawasaki , Kang Kim

Dynamic phase transition phenomena in ultrathin films described by Blume-Capel model have been investigated using Monte Carlo simulations. Hysteresis loops, micromagnetic structures, and hysteresis loop area curves, as well as dynamic…

Statistical Mechanics · Physics 2015-06-16 Yusuf Yuksel

We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of…

Statistical Mechanics · Physics 2026-03-23 Sukla Pal , Stephen Powell

The dynamical properties of a 2D Heisenberg model with dipolar interactions and perpendicular anisotropy are studied using Monte Carlo simulations in two different ordered regions of the equilibrium phase diagram. We find a temperature…

Materials Science · Physics 2015-03-12 Rogelio Díaz-Méndez , Roberto Mulet

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

Recent progress in numerical study of the short-time critical dynamics is briefly reviewed.

Statistical Mechanics · Physics 2009-10-31 B. Zheng
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