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Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

Statistical Mechanics · Physics 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alava , H. Rieger

The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium…

Statistical Mechanics · Physics 2021-01-29 Ajay Halder , Muktish Acharyya

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

We study the influence of vacancy concentration on the behaviour of the three dimensional Random Field Ising model with metastable dynamics. We focus our analysis on the number of spanning avalanches which allows for a clean determination…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Eduard Vives

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Ezequiel V. Albano , Thierry Giamarchi

We study, using Monte Carlo dynamics, the time ($t$) dependent average magnetization per spin $m(t)$ behavior of 2-D kinetic Ising model under a binary ($\pm h_0$) stochastic field $h(t)$. The time dependence of the stochastic field is such…

Statistical Mechanics · Physics 2013-12-02 Asim Ghosh , Bikas K. Chakrabarti

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

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges exhibiting directed percolation-like parity conserving(PC) phase transition on…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

The nonequilibrium phase transition in sheared three-dimensional Ising models is investigated using Monte Carlo simulations in two different geometries corresponding to different shear normals. We demonstrate that in the high shear limit…

Statistical Mechanics · Physics 2012-11-01 Alfred Hucht , Sebastian Angst

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

Statistical Mechanics · Physics 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

We investigate a nonequilibrium coarsening dynamics of a one-dimensional Ising spin system with chirality. Only spins at domain boundaries are updated so that the model undergoes a coarsening to either of equivalent absorbing states with…

Statistical Mechanics · Physics 2015-06-11 Mina Kim , Su-Chan Park , Jae Dong Noh

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

Statistical Mechanics · Physics 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

We investigate dimensional reduction, the property that the critical behavior of a system in the presence of quenched disorder in dimension d is the same as that of its pure counterpart in d-2, and its breakdown in the case of the…

Disordered Systems and Neural Networks · Physics 2013-08-09 Maxime Baczyk , Matthieu Tissier , Gilles Tarjus , Yoshinori Sakamoto

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

Results of large-scale Monte Carlo simulations of three-dimensional Ising models with edges and corners are reviewed. At the ordinary transition, angle dependent critical exponents are observed, whereas at the surface transition edge and…

Condensed Matter · Physics 2009-11-07 Michel Pleimling

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied both by Monte Carlo simulation and by solving numerically the mean field dynamic equation of motion for…

Condensed Matter · Physics 2009-10-28 Muktish Acharyya

We perform extensive Monte Carlo simulations to investigate the dynamic phase transition properties of the two-dimensional kinetic Ising model on the kagome lattice in the presence of square-wave oscillating magnetic field. Through detailed…

Statistical Mechanics · Physics 2022-11-30 Zeynep Demir Vatansever