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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…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hajime Yoshino , Petra E. Jonsson

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

Statistical Mechanics · Physics 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

Dynamic scaling analyses are performed in the spin-glass phase of the $\pm J$ Ising, the {\it XY}, and the Heisenberg models in three dimensions. We found a crossover from the critical dynamics to the ground-state dynamics in the Ising…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tota Nakamura

We numerically study yielding in two-dimensional glasses which are generated with a very wide range of stabilities by swap Monte-Carlo simulations and then slowly deformed at zero temperature. We provide strong numerical evidence that…

Disordered Systems and Neural Networks · Physics 2020-05-26 Misaki Ozawa , Ludovic Berthier , Giulio Biroli , Gilles Tarjus

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

We report exact numerical diagonalization results of the infinite-range Ising spin glass in a transverse field $\Gamma$ at zero temperature. Eigenvalues and eigenvectors are determined for various strengths of $\Gamma$ and for system sizes…

Statistical Mechanics · Physics 2008-02-03 Parongama Sen , Purusattam ray , Bikas K. Chakrabarti

We study the problem of glassy relaxations in the presence of an external field in the highly controlled context of a spin-glass simulation. We consider a small spin glass in three dimensions (specifically, a lattice of size L=8, small…

Disordered Systems and Neural Networks · Physics 2019-03-08 I. Gonzalez-Adalid Pemartin , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We study by means of Monte Carlo simulations the off equilibrium properties of a model glass, the Frustrated Ising Lattice Gas (FILG) in three dimensions. We have computed typical two times quantities, like density-density autocorrelations…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Jeferson J. Arenzon

We compare the critical behavior of the short-range Ising spin glass with a spin glass with long-range interactions which fall off as a power sigma of the distance. We show that there is a value of sigma of the long-range model for which…

Disordered Systems and Neural Networks · Physics 2012-11-12 R. A. Baños , L. A. Fernandez , V. Martin-Mayor , A. P. Young

We consider the spatial correlation function of the two-dimensional Ising spin glass under out-equilibrium conditions. We pay special attention to the scaling limit reached upon approaching zero temperature. The field-theory of a…

Disordered Systems and Neural Networks · Physics 2018-10-25 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a…

Condensed Matter · Physics 2009-10-22 S. Franz , M. Mézard

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

Condensed Matter · Physics 2009-10-22 Heiko Rieger

Critical dynamics in various glass models including those described by mode coupling theory is described by scale-invariant dynamical equations with a single non-universal quantity, i.e. the so-called parameter exponent that determines all…

Disordered Systems and Neural Networks · Physics 2013-02-21 Giorgio Parisi , Tommaso Rizzo

We approximate a 2D Ising spin glass by tiling an infinite square lattice with large identical unit cells. The interactions within the unit cell are random. Each such sample shows one or more critical points. We examine the scaling of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 David A Huse , Lee-Fen Ko

In this paper we study the on and off-equilibrium properties of the four dimensional Gaussian spin glass. In the static case we determine with more precision that in previous simulations both the critical temperature as well as the critical…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

Statistical Mechanics · Physics 2009-11-07 Leticia F. Cugliandolo

The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size effects they show. By exploiting at the best the…

Disordered Systems and Neural Networks · Physics 2014-04-02 Lucas Nicolao , Giorgio Parisi , Federico Ricci-Tersenghi

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

Statistical Mechanics · Physics 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

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
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