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We argue that the chaotic temperature effect predicted in Ising spin glasses should be stronger when one considers continuous (XY, Heisenberg) kind of spins, due to bigger entropic fluctuations. We then discuss the behavior of 3d spin…

Disordered Systems and Neural Networks · Physics 2007-05-23 Florent Krzakala

We study the link overlap between two replicas of an Ising spin glass in three dimensions using the Migdal-Kadanoff approximation and scaling arguments based on the droplet picture. For moderate system sizes, the distribution of the link…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore , A. J. Bray

We have studied the Parisi overlap distribution for the three dimensional Ising spin glass in the Migdal-Kadanoff approximation. For temperatures T around 0.7Tc and system sizes upto L=32, we found a P(q) as expected for the full Parisi…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. A. Moore , Hemant Bokil , Barbara Drossel

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

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

Temperature chaos has often been reported in literature as a rare-event driven phenomenon. However, this fact has always been ignored in the data analysis, thus erasing the signal of the chaotic behavior (still rare in the sizes achieved)…

Disordered Systems and Neural Networks · Physics 2013-11-27 L. A. Fernandez , V. Martin-Mayor , G. Parisi , B. Seoane

We study chaos in a two dimensional Ising spin glass by finite temperature Monte Carlo simulations. We are able to detect chaos with respect to temperature changes as well as chaos with respect to changing the bonds, and find that the chaos…

Condensed Matter · Physics 2009-10-30 Muriel Ney-Nifle , A. Peter Young

We use simulations within the Migdal-Kadanoff real space renormalization approach to probe the scales relevant for rejuvenation and memory in spin glasses. One of the central questions concerns the role of temperature chaos. First we…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Sasaki , O. C. Martin

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and…

Disordered Systems and Neural Networks · Physics 2015-05-20 Creighton K. Thomas , David A. Huse , A. Alan Middleton

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of…

Disordered Systems and Neural Networks · Physics 2016-06-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show…

Disordered Systems and Neural Networks · Physics 2009-11-10 Falk Scheffler , Hajime Yoshino , Philipp Maass

The nature of static chaos in Ising spin glasses is studied. For the problem of chaos with magnetic field, scaling relations in the case of the SK model and short-range models are presented. Our results also suggest that if there is de…

Condensed Matter · Physics 2007-05-23 Felix Ritort

We study the field cooled magnetization of a CuMn spin glass under temperature perturbations. The $T$-cycling curves are compared with the reference curve without temperature cycling. There is a crossover from the cumulative aging region to…

Disordered Systems and Neural Networks · Physics 2024-02-20 Qiang Zhai , Raymond L. Orbach , Deborah Schlagel

Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Sasaki , O. C. Martin

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

We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We study two temperature correlators from the total free energy…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jovanka Lukic , Enzo Marinari , Olivier C. Martin , Silvia Sabatini

We discuss the issue of temperature chaos in the Sherrington--Kirkpatrick spin glass mean field model. We numerically compute probability distributions of the overlap among (equilibrium) configurations at two different values of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alain Billoire , Enzo Marinari

We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the…

Statistical Mechanics · Physics 2009-11-07 A. de Candia , A. Coniglio

Extensive simulations are made of link and spin overlaps in four and five dimensional Ising Spin Glasses (ISGs). Moments and moment ratios of the mean link overlap distributions (the variance, the kurtosis and the skewness) show clear…

Disordered Systems and Neural Networks · Physics 2013-05-06 P. H. Lundow , I. A. Campbell
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