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We study the domain growth of the one-dimensional kinetic Ising model under the competing influence of Glauber dynamics at temperature T and Kawasaki dynamics with a configuration-independent rate. The scaling of the structure factor is…

统计力学 · 物理学 2009-10-31 Zhi-Feng Huang , Bing-Lin Gu , Yun Tang

We study the correlation function of the one-dimensional Ising model at fixed magnetization. Focusing on the scaling limit close to the zero-temperature fixed point, we show that this correlation function, in momentum space, exhibits…

统计力学 · 物理学 2025-11-19 Ivan Balog , Adam Rançon

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

统计力学 · 物理学 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

The growth of the spin-glass correlation length has been measured as a function of the waiting time $t_{\mathrm{w}}$ on a single crystal of CuMn (6 at.\%), reaching values $\xi\sim 150$ nm, larger than any other glassy correlation-length…

无序系统与神经网络 · 物理学 2020-02-19 Q. Zhai , V. Martin-Mayor , D. L. Schlagel , G. G. Kenning , R. L. Orbach

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

We consider the long-ranged Ising spin-glass with random couplings decaying as a power-law of the distance, in the region of parameters where the spin-glass phase exists with a positive droplet exponent. For the Metropolis single-spin-flip…

无序系统与神经网络 · 物理学 2014-08-22 Cecile Monthus

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

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

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

统计力学 · 物理学 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation…

无序系统与神经网络 · 物理学 2007-05-23 Matteo Palassini , Sergio Caracciolo

We analyze exact ground-state energies of two-dimensional Ising spin glasses with either Gaussian or bimodal nearest-neighbor interactions for large system sizes and for three types of boundary conditions: free on both axes, periodic on…

无序系统与神经网络 · 物理学 2007-05-23 I. A. Campbell , A. K. Hartmann , Helmut G. Katzgraber

Isothermal simulational data for the 3D Edwards-Anderson spin glass are collected at several temperatures below $T_{\rm c}$ and, in analogy with a recent model of dense colloidal suspensions,interpreted in terms of clusters of contiguous…

统计力学 · 物理学 2018-08-15 Paolo Sibani , Stefan Boettcher

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

无序系统与神经网络 · 物理学 2018-08-23 Jie Yang , A. Alan Middleton

We investigate the off-equilibrium dynamics of a spin system with O($N$) symmetry in $2 < d < 4$ spatial dimensions arising by the presence of a slowly varying time-dependent magnetic field $h(t,t_s) \sim t/t_s$, $t_s$ is a time scale, at…

统计力学 · 物理学 2019-01-25 Stefano Scopa

Spin glasses, generally defined as disordered systems with randomized competing interactions, are a widely investigated complex system. Theoretical models describing spin glasses are broadly used in other complex systems, such as those…

The antiferromagnetic Heisenberg model with easy-axis exchange anisotropy on the Kagome lattice is studied by means of Monte Carlo simulations. From equilibrium properties, we find that the values of the critical exponents associated with…

统计力学 · 物理学 2009-11-07 S. Bekhechi , B. W. Southern

The long-range one-dimensional Ising spin-glass with random couplings decaying as $J(r) \propto r^{-\sigma}$ presents a spin-glass phase $T_c(\sigma)>0$ for $0 \leq \sigma<1$ (the limit $\sigma=0$ corresponds to the mean-field SK-model). We…

无序系统与神经网络 · 物理学 2014-01-15 Cecile Monthus , Thomas Garel

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

统计力学 · 物理学 2013-04-17 Christopher J. Fullerton , M. A. Moore

We investigate the dynamical critical behavior of the two- and three-dimensional Ising model with Glauber dynamics in equilibrium. In contrast to the usual standing, we focus on the mean-squared deviation of the magnetization $M$, MSD$_M$,…

统计力学 · 物理学 2023-09-22 Zihua Liu , Erol Vatansever , Gerard T. Barkema , Nikolaos G. Fytas

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

高能物理 - 理论 · 物理学 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

统计力学 · 物理学 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke