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We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe…

无序系统与神经网络 · 物理学 2009-11-13 Claudio Chamon , Leticia F. Cugliandolo

We study spatio-temporal fluctuations in the non-equilibrium dynamics of the d dimensional O(N) in the large N limit. We analyse the invariance of the dynamic equations for the global correlation and response in the slow ageing regime under…

统计力学 · 物理学 2009-11-11 Claudio Chamon , Leticia F. Cugliandolo , Hajime Yoshino

We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

无序系统与神经网络 · 物理学 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

We show that the generating functional describing the slow dynamics of spin glass systems is invariant under reparametrizations of the time. This result is general and applies for both infinite and short range models. It follows simply from…

凝聚态物理 · 物理学 2009-11-07 Claudio Chamon , Malcolm P. Kennett , Horacio Castillo , Leticia F. Cugliandolo

We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of…

We test a hypothesis for the origin of dynamical heterogeneity in slowly relaxing systems, namely that it emerges from soft (Goldstone) modes associated with a broken continuous symmetry under time reparametrizations. We do this by…

无序系统与神经网络 · 物理学 2013-10-30 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

We investigate the relation between two-time, multi-spin, correlation and response functions in the non-equilibrium critical dynamics of Ising models in d=1 and d=2 spatial dimensions. In these non-equilibrium situations, the…

统计力学 · 物理学 2007-05-23 Peter Mayer , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

高能物理 - 理论 · 物理学 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of…

无序系统与神经网络 · 物理学 2022-05-20 Stefan Boettcher

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

统计力学 · 物理学 2007-05-23 Malte Henkel , Michel Pleimling

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the…

统计力学 · 物理学 2007-05-23 Malte Henkel , Michel Pleimling

In this paper we extend the earlier treatment of out-of-equilibrium mesoscopic fluctuations in glassy systems in several significant ways. First, via extensive simulations, we demonstrate that models of glassy behavior without quenched…

统计力学 · 物理学 2009-11-10 C. Chamon , P. Charbonneau , L. F. Cugliandolo , D. R. Reichman , M. Sellitto

We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the…

We study the fluctuation-dissipation relations for a three dimensional Ising spin glass in a magnetic field both in the high temperature phase as well as in the low temperature one. In the region of times simulated we have found that our…

无序系统与神经网络 · 物理学 2009-11-07 A. Cruz , L. A. Fernandez , S. Jimenez , J. J. Ruiz-Lorenzo , A. Tarancon

We investigate the non-equilibrium dynamics of spherical spin models with two-spin interactions. For the exactly solvable models of the d-dimensional spherical ferromagnet and the spherical Sherrington-Kirkpatrick model the asymptotic…

统计力学 · 物理学 2015-06-25 W. Zippold , R. Kuehn , H. Horner

We present a numerical study of the order-parameter fluctuations for Ising spin glasses in three and four dimensions at very low temperatures and without an external field. Accurate measurements of two previously introduced parameters, A…

无序系统与神经网络 · 物理学 2009-11-10 Matteo Palassini , Marta Sales , Felix Ritort

We numerically study aging for the Edwards-Anderson Model in 3 and 4 dimensions using different temperature-change protocols. In D=3, time scales a thousand times larger than in previous work are reached with the SUE machine. Deviations…

无序系统与神经网络 · 物理学 2009-11-10 S. Jimenez , V. Martin-Mayor , S. Perez-Gaviro

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

统计力学 · 物理学 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

Glassy dynamics have time-reparametrization `softness': glasses fluctuate, and respond to external perturbations, primarily by changing the pace of their evolution. Remarkably, the same situation also appears in toy models of quantum field…

高能物理 - 理论 · 物理学 2024-01-09 Jorge Kurchan

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We show that these systems are aging in the long-time regime, i.e., their two-time autocorrelation and response functions and…

统计力学 · 物理学 2009-10-31 C. Godreche , J. M. Luck
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