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The random field Ising model with Gaussian disorder is studied using a new Monte Carlo algorithm. The algorithm combines the advantanges of the replica exchange method and the two-replica cluster method and is much more efficient than the…

统计力学 · 物理学 2009-10-31 Jon Machta , Mark Newman , Lincoln Chayes

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…

统计力学 · 物理学 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

统计力学 · 物理学 2011-07-21 Muktish Acharyya

We show that phase transitions in Ising systems with planar defects, i.e., disorder perfectly correlated in two dimensions are destroyed by smearing. This is caused by effects similar to but stronger than the Griffiths phenomena:…

无序系统与神经网络 · 物理学 2009-11-10 Thomas Vojta

We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical…

无序系统与神经网络 · 物理学 2009-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

We present a study of the influence of different types of disorder on systems in the Ising universality class by employing both a dynamical field theory approach and extensive Monte Carlo simulations. We reproduce some well known results…

凝聚态物理 · 物理学 2009-10-31 Juan J. Alonso , Miguel A. Munoz

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

统计力学 · 物理学 2009-11-13 Florian Baumann , Michel Pleimling

Phase diagram and pattern formation in two-dimensional Ising model with coupling between order parameter and lattice vibrations is investigated by Monte-Carlo simulations. It is shown that if the coupling is strong enough (or phonons are…

统计力学 · 物理学 2011-11-10 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

The Griffiths phase in systems with quenched disorder occurs below the ordering transition of the pure system down to the ordering transition of the actual disordered system. While it does not exhibit long-range order, large fluctuations in…

无序系统与神经网络 · 物理学 2024-11-14 Lambert Münster , Alexander K. Hartmann , Martin Weigel

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…

统计力学 · 物理学 2023-07-25 Yusuf Yüksel

Motivated by recent numerical findings [M. Henkel, T. Enss, and M. Pleimling, J. Phys. A: Math. Gen. 39 (2006) L589] we re-examine via Monte Carlo simulations the linear response function of the two-dimensional Ising model with Glauber…

统计力学 · 物理学 2011-02-15 Federico Corberi , Andrea Gambassi , Eugenio Lippiello , Marco Zannetti

We study the ordering kinetics in $d=2$ ferromagnets which corresponds to populated neuron activities with long-ranged interactions, $V(r)\sim r^{-n}$ associated with short-ranged interaction. We present the results from comprehensive Monte…

神经元与认知 · 定量生物学 2015-01-23 Awaneesh Singh , Jasleen Gundh , R. K. Brojen Singh

We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder represents a relevant perturbation according to the extended…

统计力学 · 物理学 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

无序系统与神经网络 · 物理学 2009-11-10 Rastko Sknepnek , Thomas Vojta

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

统计力学 · 物理学 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

We study numerically the aging properties of the two-dimensional Ising model with quenched disorder considered in our recent paper [Phys. Rev. E 95, 062136 (2017)], where frustration can be tuned by varying the fraction a of…

统计力学 · 物理学 2019-01-23 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Sanjay Puri

Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed…

统计力学 · 物理学 2007-05-23 Michael Kastner

We study coarsening dynamics in the ferromagnetic random bond Ising model in d = 1; 2. We focus on the validity of super-universality and the scaling properties of the response functions. In the d = 1 case, we obtain a complete…

统计力学 · 物理学 2015-05-19 E. Lippiello , A. Mukherjee , Sanjay Puri , M. Zannetti

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order.…

统计力学 · 物理学 2009-10-30 Jian-Sheng Wang , Chee Kwan Gan

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo…

统计力学 · 物理学 2011-07-01 N. Crokidakis , D. O. Soares-Pinto , M. S. Reis , A. M. Souza , R. S. Sarthour , I. S. Oliveira