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We present a large-scale simulation of the three-dimensional and mean-field spin glasses down to a very low but finite temperature. We extrapolate pertinent observables, e.g., the disorder-averaged central weight to zero temperature,…

Disordered Systems and Neural Networks · Physics 2025-05-13 Wenlong Wang

We consider the problem of temperature chaos in mean-field spin-glass models defined on random lattices with finite connectivity. By means of an expansion in the order parameter we show that these models display a much stronger chaos effect…

Disordered Systems and Neural Networks · Physics 2012-10-31 Giorgio Parisi , Tommaso Rizzo

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

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 problem of chaos in temperature in some mean-field spin-glass models by means of a replica computation over a model of coupled systems. We propose a set of solutions of the saddle point equations which are intrinsically…

Disordered Systems and Neural Networks · Physics 2009-11-07 Tommaso Rizzo

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

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

We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies…

Disordered Systems and Neural Networks · Physics 2015-06-24 F. Krzakala , O. C. Martin

Temperature chaos plays a role in important effects, like for example memory and rejuvenation, in spin glasses, colloids, polymers. We numerically investigate temperature chaos in spin glasses, exploiting its recent characterization as a…

Disordered Systems and Neural Networks · Physics 2016-12-02 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , D. Yllanes

We study the chaotic nature of spin glasses against perturbations of the realization of the quenched disorder. This type of perturbation modifies the energy landscape of the system without adding extensive energy. We exactly solve the…

Condensed Matter · Physics 2016-08-31 Vicente Azcoiti , Eduardo Follana , Felix Ritort

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

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

Temperature chaos is a striking phenomenon in spin glasses, where even slight changes in temperature lead to a complete reconfiguration of the spin state. Another intriguing effect is the reentrant transition, in which lowering the…

Disordered Systems and Neural Networks · Physics 2025-10-24 Hidetoshi Nishimori , Masayuki Ohzeki , Manaka Okuyama

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 discuss the problem of static chaos in spin glasses. In the case of magnetic field perturbations, we propose a scaling theory for the spin-glass phase. Using the mean-field approach we argue that some pure states are suppressed by the…

Condensed Matter · Physics 2009-10-22 Felix Ritort

Temperature chaos (TC) in spin glasses has been claimed to exist no matter how small the temperature change, $\Delta T$. However, experimental studies have exhibited a finite value of $\Delta T$ for a transition to TC. This paper explores…

Disordered Systems and Neural Networks · Physics 2025-03-19 Hongze Li , Jiaming He , Raymond L. Orbach

We find a dynamic effect in the non-equilibrium dynamics of a spin glass that closely parallels equilibrium temperature chaos. This effect, that we name dynamic temperature chaos, is spatially heterogeneous to a large degree. The key…

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 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 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
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