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connected spin-glass models with a discontinuous transition. In the thermodynamic limit the equilibrium properties in the high temperature phase are described by the schematic Mode Coupling Theory of super-cooled liquids. We show that {\it…

无序系统与神经网络 · 物理学 2009-10-31 A. Crisanti , F. Ritort

The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two…

强关联电子 · 物理学 2009-11-10 L. Arrachea , D. Dalidovich , V. Dobrosavljević , M. J. Rozenberg

The stability of the spin-glass phase against a magnetic field is studied in the three and four dimensional Edwards-Anderson Ising spin glasses. Effective couplings and effective fields associated with length scale L are measured by a…

无序系统与神经网络 · 物理学 2009-11-13 M. Sasaki , K. Hukushima , H. Yoshino , H. Takayama

We investigate low temperature properties of a random Ising model with $+J$ and $-aJ (a \neq 1)$ bonds in two dimensions using a cluster heat bath method. It is found that the Binder parameters $g_L$ for different sizes of the lattice come…

无序系统与神经网络 · 物理学 2009-10-30 Takayuki Shirakura , Fumitaka Matsubara

We discuss a phase transition in spin glass models which have been rarely considered in the past, namely the phase transition that may take place when two real replicas are forced to be at a larger distance (i.e. at a smaller overlap) than…

无序系统与神经网络 · 物理学 2020-02-27 Maddalena Dilucca , Luca Leuzzi , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We investigate the balanced $M=4$, $p=4$ spin-glass model for a one-dimensional long-range proxy for the finite dimensional short-range $p$-spin glass model to examine the nature of the glass transition beyond mean-field theory. We perform…

无序系统与神经网络 · 物理学 2026-04-20 Prerak Gupta , Auditya Sharma , Bharadwaj Vedula , J. Yeo , M. A. Moore

Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the…

统计力学 · 物理学 2015-06-04 Smarajit Karmakar , Itamar Procaccia

We investigate the zero-temperature glassy transitions in the square-lattice +- J Ising model, with bond distribution $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$; p=1 and p=1/2 correspond to the pure Ising model and to the…

无序系统与神经网络 · 物理学 2010-08-25 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a…

无序系统与神经网络 · 物理学 2023-02-13 Maria Chiara Angelini

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

统计力学 · 物理学 2016-02-10 Robert L. Jack , Juan P. Garrahan

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

无序系统与神经网络 · 物理学 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

By quenched-randomly mixing local units of different spatial dimensionalities, we have studied Ising spin-glass systems on hierarchical lattices continuously in dimensionalities 1 =< d =< 3. The global phase diagram in temperature,…

统计力学 · 物理学 2018-10-24 Bora Atalay , A. Nihat Berker

We study domain-wall excitations in two-dimensional random-bond Ising spin systems on a square lattice with side length L, subject to two different continuous disorder distributions. In both cases an adjustable parameter allows to tune the…

无序系统与神经网络 · 物理学 2009-05-06 O. Melchert , A. K. Hartmann

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

无序系统与神经网络 · 物理学 2020-06-24 J. J. Ruiz-Lorenzo

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such…

无序系统与神经网络 · 物理学 2009-11-10 Hajime Yoshino , Petra E. Jonsson

Phase transitions in a modified Nishimori model, including the model considered by Kitatani, on a two-dimensional square lattice are investigated using a tensor-network-based sampling scheme. In this model, generating bond configurations is…

无序系统与神经网络 · 物理学 2026-03-20 Takumi Oshima , Yamato Arai , Koji Hukushima

We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally-applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Ising spin glass for…

无序系统与神经网络 · 物理学 2009-04-30 Helmut G. Katzgraber , Derek Larson , A. P. Young

In an effort to understand the glass transition, the dynamics of a non-randomly frustrated spin model has been analyzed. The phenomenology of the spin model is similar to that of a supercooled liquid undergoing the glass transition. The…

统计力学 · 物理学 2009-10-31 Hui Yin , Bulbul Chakraborty

A one dimensional network on which there are long range bonds at lattice distances $l>1$ with the probability $P(l) \propto l^{-\delta}$ has been taken under consideration. We investigate the critical behavior of the Ising model on such a…

统计力学 · 物理学 2009-11-11 Arnab Chatterjee , Parongama Sen

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

无序系统与神经网络 · 物理学 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama