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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

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for…

无序系统与神经网络 · 物理学 2018-07-10 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

New advances in experiments on the random-field Ising model, as realized in dilute antiferromagnets, have brought us much closer to a full characterization of the static and dynamic critical behavior of the unusual phase transition in three…

无序系统与神经网络 · 物理学 2008-02-03 D. P. Belanger

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

The current status of experiments on the d=2 and d=3 random-exchange and random-field Ising models, as realized in dilute anisotropic antiferromagnets, is discussed. Two areas of current investigation are emphasized. For d=3, the large…

无序系统与神经网络 · 物理学 2007-05-23 D. P. Belanger

We present numerical simulations for the diluted antiferromagnetic 3D Ising model (DAFF) in an external magnetic field at zero temperature. Our results are compatible with the DAFF being in the same universality class as the Random Field…

无序系统与神经网络 · 物理学 2015-05-06 Marco Picco , Nicolas Sourlas

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

We study a geometrically frustrated triangular Ising antiferromagnet in an external magnetic field which is selectively diluted with nonmagnetic impurities employing an effective-field theory with correlations and Monte Carlo simulations.…

统计力学 · 物理学 2012-12-24 M. Borovský , M. Žukovič , A. Bobák

We apply numerical simulations to study the criticality of the 3D Ising model with random site quenched dilution. The emphasis is given to the issues not being discussed in detail before. In particular, we attempt a comparison of different…

统计力学 · 物理学 2009-04-03 D. Ivaneyko , J. Ilnytskyi , B. Berche , Yu. Holovatch

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…

无序系统与神经网络 · 物理学 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We perform a detailed study of the critical behavior of the mean field diluted Ising ferromagnet by analytical and numerical tools. We obtain self-averaging for the magnetization and write down an expansion for the free energy close to the…

统计力学 · 物理学 2009-11-13 Elena Agliari , Adriano Barra , Federico Camboni

Critical scattering analyses for dilute antiferromagnets are made difficult by the lack of predicted theoretical line shapes beyond mean-field models. Nevertheless, with the use of some general scaling assumptions we have developed a…

无序系统与神经网络 · 物理学 2009-10-31 Z. Slanic , D. P. Belanger , J. A. Fernandez-Baca

The Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagnetic domain wall flip and of the random field a la Imry-Ma…

无序系统与神经网络 · 物理学 2015-06-15 Luca Leuzzi , Giorgio Parisi

Phase transitions in the three-dimensional diluted Ising antiferromagnet in an applied magnetic field are analyzed numerically. It is found that random magnetic field in a system with spin concentration below a certain threshold induces a…

其他凝聚态物理 · 物理学 2009-11-11 V. V. Prudnikov , V. N. Borodikhin

We investigate the universality class of the finite-temperature phase transition of the two-dimensional Ising model with the algebraically decaying ferromagnetic long-range interaction, $J_{ij} = |\vec{r}_i -\vec{r}_j|^{-(d+\sigma)}$, where…

统计力学 · 物理学 2017-09-28 Toshiki Horita , Hidemaro Suwa , Synge Todo

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

无序系统与神经网络 · 物理学 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

The Random-Field Ising Model (RFIM) has been extensively studied as a model system for understanding the effects of disorder in magnets. Since the late 1970s, there has been a particular focus on realizations of the RFIM in site-diluted…

无序系统与神经网络 · 物理学 2008-01-16 D. M. Silevitch , D. Bitko , J. Brooke , S. Ghosh , G. Aeppli , T. F. Rosenbaum

It has long been believed that equilibrium random-field Ising model (RFIM) critical scattering studies are not feasible in dilute antiferromagnets close to and below Tc(H) because of severe non-equilibrium effects. The high magnetic…

无序系统与神经网络 · 物理学 2009-10-31 Z. Slanic , D. P. Belanger , J. A. Fernandez-Baca

Monte Carlo techniques are used to investigate the equilibrium threshold concentration, xe, in the dilute anisotropic antiferromagnet Fe(x)Zn(1-x)F2 in an applied magnetic field, considered to be an ideal random-field Ising model system.…

无序系统与神经网络 · 物理学 2009-10-31 W. C. Barber , D. P. Belanger

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
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