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The study of the Ising model from a percolation perspective has played a significant role in the modern theory of critical phenomena. We consider the celebrated square-lattice Ising model and construct percolation clusters by placing bonds,…

统计力学 · 物理学 2025-09-30 Tao Chen , Jinhong Zhu , Wei Zhong , Sheng Fang , Youjin Deng

The dissipative variant of the Ising model in a transverse field is one of the most important models in the analysis of open quantum many-body systems, due to its paradigmatic character for understanding driven-dissipative quantum phase…

量子物理 · 物理学 2023-11-15 David Roberts , Aashish A. Clerk

The critical behavior of Ising model on a one-dimensional network, which has long-range connections at distances $l>1$ with the probability $\Theta(l)\sim l^{-m}$, is studied by using Monte Carlo simulations. Through studying the Ising…

斑图形成与孤子 · 物理学 2009-11-13 YunFeng Chang , Liang Sun , Xu Cai

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

With Monte Carlo methods, we investigate the universality class of the depinning transition in the two-dimensional Ising model with quenched random fields. Based on the short-time dynamic approach, we accurately determine the depinning…

计算物理 · 物理学 2012-03-01 X. P. Qin , B. Zheng , N. J. Zhou

We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting…

统计力学 · 物理学 2007-05-23 Uwe Grimm , Michael Baake , Harald Simon

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

无序系统与神经网络 · 物理学 2016-02-17 Matthew Wittmann , A. P. Young

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

统计力学 · 物理学 2009-11-07 Arnaud Buhot , Juan P. Garrahan

All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It…

无序系统与神经网络 · 物理学 2021-10-26 E. Can Artun , A. Nihat Berker

Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnetic field H_Q that is conjugate to the spin-glass order Q,…

无序系统与神经网络 · 物理学 2009-11-13 Burcu Yücesoy , A. Nihat Berker

We review recent numerical progress in the study of finite dimensional strongly disordered magnetic systems like spin glasses and random field systems. In particular we report in some details results for the critical properties and the…

凝聚态物理 · 物理学 2016-11-03 H. Rieger

The classical transverse field Ising spin- glass model with short-range interactions is investigated beyond the mean- field approximation for a real d- dimensional lattice. We use an appropriate nontrivial modification of the Bethe- Peierls…

无序系统与神经网络 · 物理学 2009-10-31 K Walasek , K Lukierska- Walasek , L De Cesare , I Rabuffo

We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for…

统计力学 · 物理学 2007-05-23 Sang Hoon Lee , Hawoong Jeong , Jae Dong Noh

We investigate both continuous (second-order) and discontinuous (first-order) transitions to macroscopic synchronization within a single class of discrete, stochastic (globally) phase-coupled oscillators. We provide analytical and numerical…

统计力学 · 物理学 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

The Random Transverse Field Ising Chain is the simplest disordered model presenting a quantum phase transition at T=0. We compare analytically its finite-size scaling properties in two different ensembles for the disorder (i) the canonical…

凝聚态物理 · 物理学 2009-11-10 Cecile Monthus

We study the order parameter distribution P(q) in the 4d Ising spin glass with $\pm J$ couplings in a magnetic field. We also compare these results with simulations for the infinite ranged model (i.e. SK model.) Then we analyse our…

凝聚态物理 · 物理学 2009-10-22 Marco Picco , Felix Ritort

Glassy behavior is one of the main open problems in condensed matter physics. In this thesis, we approach the problem by studying spin-glasses and colloids, using several complementary strategies. From the point of view of model building,…

无序系统与神经网络 · 物理学 2013-09-10 B. Seoane

Computing the ground state of Ising spin-glass models with p-spin interactions is, in general, an NP-hard problem. In this work we show that unlike in the case of the standard Ising spin glass with two-spin interactions, computing ground…

无序系统与神经网络 · 物理学 2015-03-17 Creighton K. Thomas , Helmut G. Katzgraber

Mean field spin glass models have undergone substantial mathematical development, but finite dimensional short range spin glasses remain much less understood. This paper proves several rigorous zero temperature signatures of glassy behavior…

数学物理 · 物理学 2026-05-05 Sourav Chatterjee

In this communication we report the existence of a dynamic ``spin-reversal'' transition in an Ising system perturbed by a pulsed external magnetic field. The transition is achieved by tuning the strength ($h_p$) and/or the duration ($\Delta…

凝聚态物理 · 物理学 2015-06-25 A. Misra , B. K. Chakrabarti
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