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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…

We consider a gauge theory of the glass transition in the frustrated XY model being simplest model containing topologically nontrivial excitations. We describe the transition kinetics and find that the three-dimensional system exhibits the…

Statistical Mechanics · Physics 2019-06-26 Mikhail Vasin

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different behaviour caused by the way of updating is studied in detail for the…

Disordered Systems and Neural Networks · Physics 2016-08-16 D. Bollé , J. Busquets Blanco

By numerical simulations of the $3d$ Ising spin glass we find evidence that spontaneous replica symmetry breaking theory and not the droplet model describes with good accuracy the equilibrium behavior of the system.

Condensed Matter · Physics 2009-10-28 E. Marinari , G. Parisi , F. Ritort , J. Ruiz-Lorenzo

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…

Disordered Systems and Neural Networks · Physics 2021-10-26 E. Can Artun , A. Nihat Berker

Finite-size effects in the mean-field Ising spin glass and the mean-field three-state Potts glass are investigated by Monte Carlo simulations. In the thermodynamic limit, each model is known to exhibit a continuous phase transition into the…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Hukushima , H. Kawamura

Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends…

Disordered Systems and Neural Networks · Physics 2015-05-13 Qing-Hu Chen

We propose a spin model with a new kind of ferromagnetic interaction, which may be called {\it ferromagnetic coupling with threshold}. In this model the contribute of a given spin to the total energy has only two possible values and depends…

Condensed Matter · Physics 2009-10-28 Emilio N. M. Cirillo , Sebastiano Stramaglia

We point out a possibility of the weak universality of spin-glass phase transitions in three dimensions. The Ising, the XY, and the Heisenberg models with $\pm J$ bond distributions undergo finite-temperature phase transitions with a ratio…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tota Nakamura , Shin-ichi Endoh , Takeo Yamamoto

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass, ordinary ferromagnet and glassy ferromagnet)…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Hertz , David Sherrington , Th. M. Nieuwenhuizen

In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition. The intrinsic interest of considering such random graphs…

High Energy Physics - Lattice · Physics 2016-09-01 C. F. Baillie , W. Janke , D. A. Johnston , P. Plechac

We investigate an XY spin-glass model in which both spins and couplings evolve in time: the spins change rapidly according to Glauber-type rules, whereas the couplings evolve slowly with a dynamics involving spin correlations and Gaussian…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Jongen , D. Bolle , A. C. C. Coolen

The competition among spin glass (SG), ferromagnetism and Kondo effect has been analysed in a Kondo lattice model where the inter-site coupling $J_{ij}$ between the localized magnetic moments is given by a generalized Mattis model…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. G. Magalhães , F. M. Zimmer , P. R. Krebs

We study the low-temperature spin-glass phases of the Sherrington-Kirkpatrick (SK) model and of the 3-dimensional short range Ising spin glass (3dISG). For the SK model, evidence for ultrametricity becomes clearer as the system size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guy Hed , A. P. Young , Eytan Domany

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

Condensed Matter · Physics 2009-10-22 M. Mezard , R. Monasson

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfhard Janke , Bernd A. Berg , Alain Billoire

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the…

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , K. Hukushima , H. Takayama

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically…

Statistical Mechanics · Physics 2015-05-28 Claudio Chamon , Federico Corberi , Leticia F. Cugliandolo

We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions.…

Statistical Mechanics · Physics 2019-03-15 James Denholm , Ben Hourahine

We consider an alternative to the usual spin glass paradigm for disordered magnetism, consisting of the previously unstudied combination of frustrated magnetic interactions and pseudo-dipolar disorder in spin positions. We argue that this…

Other Condensed Matter · Physics 2011-11-02 S. T. Banks , S. T. Bramwell
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