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Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

Kinetically constrained spin models are known to exhibit dynamical behavior mimicking that of glass forming systems. They are often understood as coarse-grained models of glass formers, in terms of some "mobility" field. The identity of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew T. Downton , Malcolm P. Kennett

The dynamics of dislocations is reported to exhibit glassy properties. We study numerically various versions of 2d edge dislocation systems in the absence of externally applied stress. Two types of glassy behavior are identified: (i)…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Bako , I. Groma , G. Gyorgyi , G. T. Zimanyi

Many measurements on soft condensed matter (e.g., biological and materials) systems track low-dimensional observables projected from the full system phase space as a function of time. Examples are dynamic structure factors, spectroscopic…

Statistical Mechanics · Physics 2021-02-03 Alessio Lapolla , Jeremy C. Smith , Aljaž Godec

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a…

Condensed Matter · Physics 2009-10-22 S. Franz , M. Mézard

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

Condensed Matter · Physics 2009-09-29 J. J. Ruiz-Lorenzo

Non-equilibrium dynamics in a Ag(Mn) spin glass are investigated by measurements of the temperature dependence of the remanent magnetisation. Using specific cooling protocols before recording the thermo- or isothermal remanent…

Materials Science · Physics 2009-10-31 R. Mathieu , P. Jönsson , D. N. H. Nam , P. Nordblad

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

Convincing evidence of domain growth in the heating of ultrastable glasses suggests that the equilibration dynamics of super-cooled liquids could be driven by a nucleation and growth mechanism. We investigate this possibility by simulating…

We study the low-temperature spin-glass phases of the Sherrington-Kirkpatrick (SK) model and of the 3-dimensional short range Ising spin glass (3dISG). For the SK model, evidence for ultrametricity becomes clearer as the system size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guy Hed , A. P. Young , Eytan Domany

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

Dynamical systems of the gauge glass are investigated by the method of the gauge transformation.Both stochastic and deterministic dynamics are treated. Several exact relations are derived among dynamical quantities such as equilibrium and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Yukiyasu Ozeki

We use coherent X-rays to probe the aging dynamics of a metallic glass directly on the atomic level. Contrary to the common assumption of a steady slowing down of the dynamics usually observed in macroscopic studies, we show that the…

Materials Science · Physics 2015-10-23 Zach Evenson , Beatrice Ruta , Simon Hechler , Moritz Stolpe , Eloi Pineda , Isabella Gallino , Ralf Busch

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We use record dynamics (RD), a coarse-grained description of the ubiquitous relaxation phenomenology known as "aging", as a diagnostic tool to find universal features that distinguish between the energy landscapes of Ising spin models and…

Disordered Systems and Neural Networks · Physics 2021-01-11 Stefan Boettcher , Mahajabin Rahman

Spin Glasses (SG) are paradigmatic models for physical, computer science, biological and social systems. The problem of studying the dynamics for SG models is NP hard, i.e., no algorithm solves it in polynomial time. Here we implement the…

Disordered Systems and Neural Networks · Physics 2021-07-14 M. Leonetti , E. Hörmann , L. Leuzzi , G. Parisi , G. Ruocco

We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Paola Ranieri , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Few questions in condensed matter science have proven as difficult to unravel as the interplay between structure and dynamics in supercooled liquids and glasses. The conundrum: close to the glass transition, the dynamics slow down…

In this paper, we introduce a notion called "Approximate Ultrametricity" which encapsulates the phenomenology of a sequence of random probability measures having supports that behave like ultrametric spaces insofar as they decompose into…

Probability · Mathematics 2017-03-08 Aukosh Jagannath