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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

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

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…

统计力学 · 物理学 2015-06-24 Nora Menyhard , Geza Odor

The phase diagram of the random field Ising model on the Bethe lattice with a symmetric dichotomous random field is closely investigated with respect to the transition between the ferromagnetic and paramagnetic regime. Refining arguments of…

无序系统与神经网络 · 物理学 2009-11-07 Thomas Nowotny , Heiko Patzlaff , Ulrich Behn

We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward the target ground state. The conventional approach using…

量子物理 · 物理学 2007-06-13 Sei Suzuki , Hidetoshi Nishimori , Masuo Suzuki

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution $P(h_{i})=p\; \delta(h_{i}-h_{0}) + q \delta (h_{i}+ \lambda *h_{0}) + r \delta (h_{i})$, is investigated. The…

统计力学 · 物理学 2013-04-10 Ioannis A. Hadjiagapiou

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…

统计力学 · 物理学 2009-10-31 J. Hausmann , P. Rujan

Non-equilibrium systems lack an explicit characterisation of their steady state like the Boltzmann distribution for equilibrium systems. This has drastic consequences for the inference of parameters of a model when its dynamics lacks…

统计力学 · 物理学 2016-11-15 Simon L. Dettmer , H. Chau Nguyen , Johannes Berg

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

统计力学 · 物理学 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

A thorough numerical investigation of the slow dynamics in the d=1 random field Ising model in the limit of an infinite ferromagnetic coupling is presented. Crossovers from the preasymptotic pure regime to the asymptotic Sinai regime are…

统计力学 · 物理学 2009-11-07 F. Corberi , A. de Candia , E. Lippiello , M. Zannetti

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

无序系统与神经网络 · 物理学 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

We analyze the ferromagnetic Ising model on a scale-free tree; the growing random network model with the linear attachment kernel $A_k=k+\alpha$ introduced by [Krapivsky et al.: Phys. Rev. Lett. {\bf 85} (2000) 4629-4632]. We derive an…

统计力学 · 物理学 2015-05-13 Takehisa Hasegawa , Koji Nemoto

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

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 the non-equilibrium behavior of the three-dimensional Gaussian random-field Ising model at T=0 in the presence of a uniform external field using a 2-spin-flip dynamics. The deterministic, history-dependent evolution of the system…

无序系统与神经网络 · 物理学 2009-11-10 Eduard Vives , Martin Luc Rosinberg , Gilles Tarjus

A modified version of a finite random field Ising ferromagnetic model in an external magnetic field at zero temperature is presented to describe group decision making. Fields may have a non-zero average. A postulate of minimum…

无序系统与神经网络 · 物理学 2015-06-25 Serge Galam

We have measured magnetic-field-induced avalanches in a square artificial spin ice array of interacting nanomagnets. Starting from the ground state ordered configuration, we imaged the individual nanomagnet moments after each successive…

介观与纳米尺度物理 · 物理学 2021-11-24 N. S. Bingham , S. Rooke , J. Park , A. Simon , W. Zhu , X. Zhang , J. Batley , J. D. Watts , C. Leighton , K. A. Dahmen , P. Schiffer

We study the two-dimensional antiferromagnetic Ising model with a purely imaginary magnetic field, which can be thought of as a toy model for the usual $\theta$ physics. Our motivation is to have a benchmark calculation in a system which…

高能物理 - 格点 · 物理学 2017-09-15 Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Eduardo Royo-Amondarain

The dynamical steady state behaviour of the random field Ising ferromagnet swept by a propagating magnetic field wave is studied at zero temperature by Monte Carlo simulation in two dimensions. The distribution of the random field is…

统计力学 · 物理学 2015-03-13 Muktish Acharyya

We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

统计力学 · 物理学 2021-10-27 Jules Guioth , Robert L. Jack