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Intensive numerical studies of exact ground states of the 2-d ferromagnetic random field Ising model at T=0 with gaussian distribution of fields are presented. Standard finite size scaling analysis of the data suggests the existence of a…

Condensed Matter · Physics 2009-10-31 Carlos Frontera , Eduard Vives

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

Statistical Mechanics · Physics 2009-11-07 Ilija Dukovski , Jon Machta

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

A kinetic one-dimensional Ising model is coupled to two heat baths, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($% T_{o}$). Spin flips occur with Glauber-type rates generalised to the case of two…

Statistical Mechanics · Physics 2009-11-07 F. Schmüser , B. Schmittmann

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external force is changed, a nonequilibrium phase…

Statistical Mechanics · Physics 2009-10-31 H. Fujisaka , H. Tutu , P. A. Rikvold

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

Condensed Matter · Physics 2009-10-28 C. Zeng , C. L. Henley

Using Monte Carlo simulations we study cooling-rate effects in a three-dimensional Ising model with four-spin interaction. During coarsening, this model develops growing energy barriers which at low temperature lead to very slow dynamics.…

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

The Glauber dynamics of the pure and weakly disordered random-bond 2d Ising model is studied at zero-temperature. A single characteristic length scale, $L(t)$, is extracted from the equal time correlation function. In the pure case, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Jain

We study a one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in [0,\frac 12]$, in the presence of external random fields. We assume that the random fields are given by a collection…

Probability · Mathematics 2015-05-20 Marzio Cassandro , Enza Orlandi , Pierre Picco

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which…

Disordered Systems and Neural Networks · Physics 2009-10-31 Eduard Vives , Antoni Planes

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. After introducing a general formalism for describing such systems, we consider here the mean-field…

Statistical Mechanics · Physics 2009-10-31 J. Hausmann , P. Rujan

We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully…

Statistical Mechanics · Physics 2025-05-09 Adrià Garcés , Demian Levis

We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is apparently reached approximately 1/4 of the time, while the…

Statistical Mechanics · Physics 2009-10-31 V. Spirin , P. L. Krapivsky , S. Redner

The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained…

Statistical Mechanics · Physics 2009-11-10 Prabodh Shukla

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent…

Probability · Mathematics 2009-11-13 Marzio Cassandro , Enza Orlandi , Pierre Picco

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

It has been suggested that Glauber (inflow) and Sznajd (outflow) zero-temperature dynamics for the one dimensional Ising ferromagnet with the nearest neighbors interactions are equivalent. Here we compare both dynamics from analytical and…

Statistical Mechanics · Physics 2009-11-11 Katarzyna Sznajd-Weron , Sylwia Krupa

We consider the continuous time, zero-temperature heat-bath dynamics for the nearest-neighbor Ising model on $Z^2$ with positive magnetic field. For a system of size $L\in N$, we start with initial condition $\sigma$ such that $\sigma_x=-1$…

Probability · Mathematics 2012-10-10 Hubert Lacoin