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The Parisi solution of the mean-field spin glass has been widely accepted and celebrated. Its marginal stability in 3d and its complexity however raised the question of its relevance to real spin glasses. This paper gives a short overview…

Disordered Systems and Neural Networks · Physics 2009-06-26 Eric Vincent , J. Hammann , Miguel Ocio

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

The distribution of the performed work for spin glasses with gauge symmetry is considered. With the aid of the gauge symmetry, which leads to the exact/rigorous results in spin glasses, we find a fascinating relation of the performed work…

Disordered Systems and Neural Networks · Physics 2015-06-11 Masayuki Ohzeki

The noncrystalline glassy state of matter plays a role in virtually all fields of materials science and offers complementary properties to those of the crystalline counterpart. The caveat of the glassy state is that it is out of equilibrium…

The non-equilibrium dynamics of an amorphous solid is studied with a soft-spin type model. We show that the aging behavior in the glassy state follows a modified Kohlrausch-Williams-Watts (KWW) form similar to that obtained in Phys. Rev.…

Soft Condensed Matter · Physics 2009-11-13 Sunil P. Singh , Shankar P. Das

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the…

Disordered Systems and Neural Networks · Physics 2007-07-04 Thomas Jorg

We analyse the aging dynamics of the one-dimensional Fredrickson-Andersen (FA) model in the nonequilibrium regime following a low temperature quench. Relaxation then effectively proceeds via diffusion limited pair coagulation (DLPC) of…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Peter Sollich

Experiments on spin glasses can now make precise measurements of the exponent $z(T)$ governing the growth of glassy domains, while our computational capabilities allow us to make quantitative predictions for experimental scales. However,…

We solve the Langevin dynamics of d-dimensional ferromagnetic spherical models with interactions that decay with distance as r^-(d+sigma). The long time dynamics of correlations and responses are studied in the different dynamical regimes…

Statistical Mechanics · Physics 2009-10-31 Sergio A. Cannas , Daniel A. Stariolo , Francisco A. Tamarit

As Phil Anderson noted long ago, frustration can be generally defined by measuring the fluctuations in the coupling energy across a plane boundary between two large blocks of material. Since that time, a number of groups have studied the…

Disordered Systems and Neural Networks · Physics 2014-08-12 D. L. Stein

The fractal dimension of excitations in glassy systems gives information on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are space…

Disordered Systems and Neural Networks · Physics 2017-09-11 Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

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…

Statistical Mechanics · Physics 2015-06-25 W. Zippold , R. Kuehn , H. Horner

In this note we present numerical simulations of binary mixtures. We study the diffusion of particles and the response to an external driving force. We find evidence for the validity of the Cugliandolo Kurchan off-equilibrium fluctuation…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

We study the properties of fluctuation for the free energies and internal energies of two spin glass systems that differ for having some set of interactions flipped. We show that their difference has a variance that grows like the volume of…

Mathematical Physics · Physics 2009-11-13 Pierluigi Contucci , Cristian Giardina , Claudio Giberti

Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick…

Disordered Systems and Neural Networks · Physics 2011-10-21 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

In this Article we review some recent progresses in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation-dissipation theorem can be derived for Markov processes, and discuss the…

Statistical Mechanics · Physics 2007-07-06 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We study and discuss rejuvenation and memory (numerical) experiments in Ising and Heisenberg three and four dimensional spin glasses. We introduce a quantitative procedure to analyze the results of temperature cycling experiments. We also…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Maiorano , Enzo Marinari , Federico Ricci-Tersenghi

We present x-ray photon correlation spectroscopy measurements of the atomic dynamics in a Zr67Ni33 metallic glass, well below its glass transition temperature. We find that the decay of the density fluctuations can be well described by…

Soft Condensed Matter · Physics 2015-06-12 B. Ruta , G. Baldi , G. Monaco , Y. Chushkin

The deviations from full or pure aging behavior, i.e. perfect $t/t_w$ scaling of the correlation and response functions of aging glassy systems, are not well understood theoretically. Recent experiments of Rodriguez et al. (Phys. Rev. Lett.…

Statistical Mechanics · Physics 2007-05-23 J. Dall , P. Sibani

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and…

Statistical Mechanics · Physics 2010-10-04 Federico Corberi , Leticia F. Cugliandolo , Hajime Yoshino