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Related papers: Evidence against a glass transition in the 10-stat…

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We present the results of Monte Carlo simulations of two different Potts glass models with short range random interactions. In the first model a \pm J-distribution of the bonds is chosen, in the second model a Gaussian distribution. In both…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p = 3, a finite-size scaling analysis of the correlation length shows clear…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. W. Lee , Helmut G. Katzgraber , A. P. Young

We use Monte Carlo simulations to investigate the dynamical properties of the infinite range 10 states Potts glass. By analyzing the spin autocorrelation function for system sizes up to N=2560, we show that strong finite size effects are…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

We investigate by means of Monte Carlo simulations the fully connected p-state Potts model for different system sizes in order to see how the static and dynamic properties of a finite model compare with the, exactly known, behavior of the…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model…

Disordered Systems and Neural Networks · Physics 2012-01-11 Ruben S. Andrist , Derek Larson , Helmut G. Katzgraber

We use Monte Carlo simulations to study the static and dynamical properties of a Potts glass with infinite range Gaussian distributed exchange interactions for a broad range of temperature and system size up to N=2560 spins. The results are…

Statistical Mechanics · Physics 2009-10-31 Claudio Brangian , Walter Kob , Kurt Binder

We perform Monte Carlo simulations of the Ising spin glass at low temperature in three dimensions with a +/-J distribution of couplings. Our results display crossover scaling between T=0 behavior, where the order parameter distribution P(q)…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Palassini , A. P. Young

We study a 7-state Potts glass model in three dimensions with first, second, and third neighbor interactions with a bimodal distribution of couplings by Monte Carlo simulations. Our results show the existence of a spin-glass transition at a…

Disordered Systems and Neural Networks · Physics 2015-03-11 Takashi Takahashi , Koji Hukushima

A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular…

Disordered Systems and Neural Networks · Physics 2009-09-25 Naomichi Hatano , James E. Gubernatis

Similarities between fragile glasses and spin glasses (SG) suggest the study of frustrated spin model to understand the complex dynamics of glasses above the glass transition. We consider a frustrated spin model with Ising spins and s-state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giancarlo Franzese , Antonio Coniglio

We investigate the quenching process in lattice systems with short range interaction and several crystalline states as ground states. We consider in particular the following systems on square lattice: - hard particle (exclusion) model; - q…

Statistical Mechanics · Physics 2017-08-23 Mario Jose de Oliveira , Alberto Petri

We perform numerical simulations, including parallel tempering, on the Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the…

Understanding the low-temperature pure state structure of spin glasses remains an open problem in the field of statistical mechanics of disordered systems. Here we study Monte Carlo dynamics, performing simulations of the growth of…

Statistical Mechanics · Physics 2021-09-15 S. Jensen , N. Read , A. P. Young

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

Disordered Systems and Neural Networks · Physics 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

We study the emergence of glassy states after a sudden cooling in lattice models with short range interactions and without any a priori quenched disorder. The glassy state emerges whenever the equilibrium model possesses a sufficient number…

Statistical Mechanics · Physics 2009-11-10 M. J. de Oliveira , A. Petri , T. Tome

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hidetoshi Nishimori , Koujin Takeda , Tomohiro Sasamoto

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

Condensed Matter · Physics 2009-10-28 Koji Hukushima , Koji Nemoto

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…

Condensed Matter · Physics 2009-10-28 N. Kawashima , A. P. Young

We present results of Monte Carlo simulations, using parallel tempering, on the three- and four-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings at low temperatures with free boundary conditions. Our results suggest…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , A. P. Young

The glass transition of supercooled fluids is a particular challenge for computer simulation, because the (longest) relaxation times increase by about 15 decades upon approaching the transition temperature T_g. Brute-force molecular…

Statistical Mechanics · Physics 2007-05-23 Kurt Binder , Jörg Baschnagel , Walter Kob , Wolfgang Paul
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