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We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range part of…

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

The long-range one-dimensional Ising spin-glass with random couplings decaying as $J(r) \propto r^{-\sigma}$ presents a spin-glass phase $T_c(\sigma)>0$ for $0 \leq \sigma<1$ (the limit $\sigma=0$ corresponds to the mean-field SK-model). We…

Disordered Systems and Neural Networks · Physics 2014-01-15 Cecile Monthus , Thomas Garel

We study the effects of small temperature as well as disorder perturbations on the equilibrium state of three-dimensional Ising spin glasses via an alternate scaling ansatz. By using Monte Carlo simulations, we show that temperature and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Florent Krzakala

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

Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass phase in two dimensions. Examples of both periodic and quasiperiodic two dimensional…

Condensed Matter · Physics 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

Memory and rejuvenation effects in the magnetic response of off-equilibrium spin glasses have been widely regarded as the doorway into the experimental exploration of ultrametricity and temperature chaos (maybe the most exotic features in…

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with…

Disordered Systems and Neural Networks · Physics 2009-01-02 Thomas Jorg , Federico Ricci-Tersenghi

Cu$_{0.5}$Co$_{0.5}$Cl$_{2}$-FeCl$_{3}$ graphite intercalation compound is a three-dimensional short-range Ising spin glass with a spin freezing temperature $T_{c}$ ($= 3.92 \pm 0.11$ K). The stability of the spin glass phase in the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Itsuko S. Suzuki , Masatsugu Suzuki

Extensive experimental and numerical studies of the non-equilibrium dynamics of spin glasses subjected to temperature or bond perturbations have been performed to investigate chaos and memory effects in selected spin glass systems.…

Materials Science · Physics 2015-06-24 P. E. Jönsson , R. Mathieu , P. Nordblad , H. Yoshino , H. Aruga Katori , A. Ito

Using the decay of the out equilibrium spin-spin correlation function we compute the equilibrium Edward-Anderson order parameter in the three dimensional binary Ising spin glass in the spin glass phase. We have checked that the…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. Perez Gaviro , Juan J. Ruiz-Lorenzo , A. Tarancon

The non-equilibrium dynamics of three paradigmatic models for two-dimensional systems with quenched disorder is studied with a focus on the existence and analysis of a growing length scale during aging at low temperatures: 1) The random…

Disordered Systems and Neural Networks · Physics 2009-11-10 Heiko Rieger , Gregory Schehr , Raja Paul

Via extensive Monte Carlo studies we show that the frustrated XY Hamiltonian on a 2-D Penrose lattice admits of a spin glass phase at low temperature. Studies of the Edwards-Anderson order parameter, spin glass susceptibility, and local…

Condensed Matter · Physics 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary…

Disordered Systems and Neural Networks · Physics 2015-09-10 Wenlong Wang , Jon Machta , Helmut G. Katzgraber

Using Monte Carlo simulations we study cooling-rate effects in a three-dimensional Ising model with four-spin interaction. During coarsening, this model develops growing energy barriers which at low temperature lead to very slow dynamics.…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston

We study large-scale, low-energy excitations in the Ising spin glass with Gaussian interactions in two-dimensions at zero temperature, using an optimization algorithm to determine exact ground states. Periodic boundary conditions are…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. K. Hartmann , A. P. Young

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

Statistical Mechanics · Physics 2013-04-17 Christopher J. Fullerton , M. A. Moore

We show that, above the critical temperature, if the dimension D of a given Ising spin glass model is sufficiently high, its free energy can be effectively expressed through the free energy of a related Ising model. When, in a large sense,…

Statistical Mechanics · Physics 2007-05-23 Massimo Ostilli

While lot of measurements describe the relaxation dynamics of the liquid state, experimental data of the glass dynamics at high temperatures are much scarcer. We use ultrafast scanning calorimetry to expand the timescales of the glass to…

We show results of simulations of a weakly driven four dimensional Edwards- Anderson spin glass, which presents clear signatures of dynamical ultrametricity at low temperatures. The presence of a hierarchical organization of time scales is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo

Numerical data on scaling of the normalized Binder cumulant and the normalized correlation length are shown for the Thermodynamic limit regime, first for canonical Ising ferromagnet models and then for a range of Ising spin glass models. A…

Disordered Systems and Neural Networks · Physics 2016-07-15 P. H. Lundow , I. A. Campbell
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