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Recent work has suggested the existence of glassy behavior in a ferromagnetic model with a four-spin interaction. Motivated by these findings, we have studied the dynamics of this model using Monte Carlo simulations with particular…

统计力学 · 物理学 2009-10-31 Michael R. Swift , Hemant Bokil , Rui D. M. Travasso , Alan J. Bray

The low-temperature phase of discontinuous mean-field spin glasses is generally described by a one-step replica symmetry breaking (1RSB) Ansatz. The Gardner transition, i.e. a very-low-temperature phase transition to a full replica symmetry…

无序系统与神经网络 · 物理学 2009-11-10 Andrea Montanari , Federico Ricci-Tersenghi

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

统计力学 · 物理学 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen

We study an M-p-spin spin glass model with p=3 and M=3 in three dimensions using the Migdal-Kadanoff renormalization group approximation (MKA). In this version of the p-spin model, there are three (M=3) Ising spins on each site. At…

统计力学 · 物理学 2012-03-20 Joonhyun Yeo , M. A. Moore

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 discuss a novel approach, the point-to-set correlation functions, that allows to determine relevant static and dynamic length scales in glass-forming liquids. We find that static length scales increase monotonically when the temperature…

无序系统与神经网络 · 物理学 2013-07-04 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

In order to study certain questions concerning the distribution of the overlap in Sherrington--Kirkpatrick type models, such as the chaos and ultrametricity problems, it seems natural to study the free energy of multiple systems with…

概率论 · 数学 2009-09-29 Dmitry Panchenko , Michel Talagrand

A mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick model. It thus exhibits replica symmetry…

凝聚态物理 · 物理学 2009-10-22 Th. M. Nieuwenhuizen

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

统计力学 · 物理学 2015-03-13 Juan J. Alonso

We study the effects of disorder on the slope of the disorder--temperature phase boundary near the Onsager point (Tc = 2.269...) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality…

无序系统与神经网络 · 物理学 2011-02-02 Masayuki Ohzeki , Creighton K. Thomas , Helmut G. Katzgraber , H. Bombin , M. A. Martin-Delgado

In this paper we continue the study of a topological glassy system. The state space of the model is given by all triangulations of a sphere with $N$ nodes, half of which are red and half are blue. Red nodes want to have 5 neighbors while…

统计力学 · 物理学 2015-05-27 Jean-Pierre Eckmann , Maher Younan

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence…

凝聚态物理 · 物理学 2009-10-28 N. Kawashima , A. P. Young

In this work we investigate properties of a supersymmetric extension of the quantum spherical model from an off-shell formulation directly in the superspace. This is convenient to safely handle the constraint structure of the model in a way…

统计力学 · 物理学 2018-12-21 L. G. dos Santos , L. V. T. Tavares , P. F. Bienzobaz , Pedro R. S. Gomes

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

无序系统与神经网络 · 物理学 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

The form of the low-temperature interactions between defects in neutral glasses is reconsidered. We analyse the case where the defects can be modelled either as simple 2-level tunneling systems, or tunneling rotational impurities. The…

无序系统与神经网络 · 物理学 2009-11-13 M. Schechter , P. C. E. Stamp

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that…

无序系统与神经网络 · 物理学 2013-05-29 Kristina Van Duijvendijk , Robert L. Jack , Frédéric Van Wijland

We introduce and analytically study a generalized p-spin glass like model that captures some of the main features of attractive glasses, recently found by Mode Coupling investigations, such as a glass/glass transition line and dynamical…

统计力学 · 物理学 2009-11-10 Antonio Caiazzo , Antonio Coniglio , Mario Nicodemi

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

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles randomly…

软凝聚态物质 · 物理学 2009-11-11 Joseph Snider , Clare C. Yu

We study the non-equilibrium dynamics of the spherical p-spin models in the scaling regime near the plateau and derive the corresponding scaling functions for the correlators. Our main result is that the matching between different time…

无序系统与神经网络 · 物理学 2007-06-26 Alexey Andreanov , Alexandre Lefèvre
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