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The three-dimensional bimodal random-field Ising model is studied via a new finite temperature numerical approach. The methods of Wang-Landau sampling and broad histogram are implemented in a unified algorithm by using the N-fold version of…

统计力学 · 物理学 2008-02-01 Nikolaos G. Fytas , Anastasios Malakis

We apply the recently developed critical minimum energy subspace scheme for the investigation of the random-field Ising model. We point out that this method is well suited for the study of this model. The density of states is obtained via…

统计力学 · 物理学 2007-05-23 Anastasios Malakis , Nikolaos G. Fytas

We apply the Wang-Landau method to the study of the critical behaviour of the three dimensional Random Field Ising Model with a bimodal probability distribution. Our results show that for high values of the random field intensity the…

统计力学 · 物理学 2009-11-13 Laura Hernandez , Horacio Ceva

We present a simple and efficient approximation scheme which greatly facilitates extension of Wang-Landau sampling (or similar techniques) in large systems for the estimation of critical behavior. The method, presented in an algorithmic…

统计力学 · 物理学 2007-05-23 A. Malakis , A. Peratzakis , N. G. Fytas

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all…

统计力学 · 物理学 2009-11-11 Yong Wu , Jon Machta

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

统计力学 · 物理学 2009-11-11 Yong Wu , Jonathan Machta

The influence of random site dilution on the critical properties of the two-dimensional Ising model on a square lattice was explored by Monte Carlo simulations with the Wang-Landau sampling. The lattice linear size was $L = 20-120$ and the…

统计力学 · 物理学 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos

The one-parametric Wang-Landau (WL) method is implemented together with an extrapolation scheme to yield approximations of the two-dimensional (exchange-energy, field-energy) density of states (DOS) of the 3D bimodal random-field Ising…

统计力学 · 物理学 2009-11-13 N. G. Fytas , A. Malakis

We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor…

统计力学 · 物理学 2011-06-03 P. E. Theodorakis , N. G. Fytas

We enlighten some critical aspects of the three-dimensional ($d=3$) random-field Ising model from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of model, namely a Gaussian…

无序系统与神经网络 · 物理学 2015-01-13 P. E. Theodorakis , N. G. Fytas

Dominant energy subspaces of statistical systems are defined with the help of restrictive conditions on various characteristics of the energy distribution, such as the probability density and the forth order Binder's cumulant. Our analysis…

统计力学 · 物理学 2007-05-23 A. Malakis , S. S. Martinos , I. A. Hadjiagapiou , N. G. Fytas , P. Kalozoumis

We revisit the nature of the quasi-one-dimensional Ising model on the basis of Wang-Landau simulation. We introduce the density of states in the two-dimensional energy space corresponding to the intra- and inter-chain directions. We then…

统计力学 · 物理学 2015-05-13 Takayuki Tanabe , Kouichi Okunishi

We investigate the critical behavior of three-dimensional random-field Ising systems with both Gauss and bimodal distribution of random fields and additional the three-dimensional diluted Ising antiferromagnet in an external field. These…

统计力学 · 物理学 2009-10-31 A. K. Hartmann , U. Nowak

It was recently shown [Phys. Rev. Lett. {\bf 110}, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming…

无序系统与神经网络 · 物理学 2016-06-21 Nikolaos G. Fytas , Victor Martin-Mayor

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its…

统计力学 · 物理学 2022-12-23 Manoj Kumar , Varsha Banerjee , Sanjay Puri , Martin Weigel

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

统计力学 · 物理学 2016-08-31 Nicolas Sourlas

Universality classes encompass the analogous thermodynamic behavior of unlike physical systems, at different spatial dimensions $d$, in the vicinity of their critical point. Critical exponents define these classes, with the Ising model…

统计力学 · 物理学 2026-02-06 D. Olascoaga-Rodríguez , F. Sastre , V. Romero-Rochín

The exact determination of ground states of small systems is used in a scaling study of the random-field Ising model. While three variants of the model are found to be in the same universality class in 3 dimensions, the Gaussian and bimodal…

无序系统与神经网络 · 物理学 2009-10-30 Michael R. Swift , Alan J. Bray , Amos Maritan , Marek Cieplak , Jayanth R. Banavar

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected…

无序系统与神经网络 · 物理学 2009-10-30 Roberto Sacconi

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…

统计力学 · 物理学 2009-11-07 Ilija Dukovski , Jon Machta
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