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In this paper, we review several important features of the out-of-equilibrium dynamics of spin glasses. Starting with the simplest experiments, we discuss the scaling laws used to describe the isothermal aging observed in spin glasses after…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. Dupuis , F. Bert , J. -P. Bouchaud , J. Hammann , F. Ladieu , D. Parker , E. Vincent

For amorphous solids, it has been intensely debated whether the traditional view on solids, in terms of the ground state and harmonic low energy excitations on top of it, such as phonons, is still valid. Recent theoretical developments of…

Soft Condensed Matter · Physics 2017-04-26 Yuliang Jin , Hajime Yoshino

Large numbers of ground states of two-dimensional Ising spin glasses with periodic boundary conditions in both directions are calculated for sizes up to 40^2. A combination of a genetic algorithm and Cluster-Exact Approximation is used. For…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander K. Hartmann

The equation of state for a liquid in equilibrium, written in the potential energy landscape formalism, is generalized to describe out-of-equilibrium conditions. The hypothesis that during aging the system explores basins associated to…

Soft Condensed Matter · Physics 2016-08-31 Stefano Mossa , Emilia La Nave , Francesco Sciortino , Piero Tartaglia

Fossil amber offers the unique opportunity of investigating an amorphous material which has been exploring its energy landscape for more than 110 Myears of natural aging. By applying different x-ray scattering methods to amber before and…

Disordered Systems and Neural Networks · Physics 2019-01-30 E. A. A. Pogna , A. I. Chumakov , C. Ferrante , M. A. Ramos , T. Scopigno

A method is presented, which allows to sample directly low-temperature configurations of glassy systems, like spin glasses. The basic idea is to generate ground states and low lying excited configurations using a heuristic algorithm. Then,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann , Federico Ricci-Tersenghi

Particles interacting with short-ranged potentials have attracted increasing interest, partly for their ability to model mesoscale systems such as colloids interacting via DNA or depletion. We consider the free energy landscape of such…

Mathematical Physics · Physics 2015-06-11 Miranda Holmes-Cerfon , Steven J. Gortler , Michael P. Brenner

We show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Clare C. Yu , Herve M. Carruzzo

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

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We numerically analyse the landscape governing the evolution of the vibrational dynamics of hard disk glasses as the density increases towards jamming. We find that the dynamics becomes slow, spatially correlated, and starts to display…

Disordered Systems and Neural Networks · Physics 2019-03-22 Qinyi Liao , Ludovic Berthier

We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ivan Junier

We perform a comprehensive survey of the potential energy landscapes of 13-atom Morse clusters, and describe how they can be characterized and visualized. Our aim is to detail how the global features of the funnel-like surface change with…

Statistical Mechanics · Physics 2009-10-31 Mark A. Miller , Jonathan P. K. Doye , David J. Wales

We present a three-dimensional lattice-gas model with trivial thermodynamics, but nontrivial dynamics. The model is characterized by each particle having its own random energy landscape. The equilibrium dynamics of the model were…

Soft Condensed Matter · Physics 2012-03-27 Ulf R. Pedersen , Tina Hecksher , Jeppe C. Dyre , Thomas B. Schrøder

We study the effect of an external field on (1+1) and (2+1) dimensional elastic manifolds, at zero temperature and with random bond disorder. Due to the glassy energy landscape the configuration of a manifold changes often in abrupt,…

Statistical Mechanics · Physics 2009-11-07 E. T. Seppälä , M. J. Alava

In amorphous materials, groups of particles can rearrange locally into a new stable configuration. Such elementary excitations are key as they determine the response to external stresses, as well as to thermal and quantum fluctuations. Yet,…

Soft Condensed Matter · Physics 2022-04-26 Wencheng Ji , Tom W. J. de Geus , Elisabeth Agoritsas , Matthieu Wyart

In this paper we expose the results of our recent work on the dynamical TAP approach to mean field glassy systems. Our aim is to clarify the connection between free energy landscape and out of equilibrium dynamics in solvable models.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giulio Biroli

We introduce a diffusion model for energetically inhomogeneous systems. A random walker moves on a spin-S Ising configuration, which generates the energy landscape on the lattice through the nearest-neighbors interaction. The underlying…

Statistical Mechanics · Physics 2008-06-17 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

Dynamical connectivity graphs, which describe dynamical transition rates between local energy minima of a system, can be displayed against the background of a disconnectivity graph which represents the energy landscape of the system. The…

Statistical Mechanics · Physics 2009-10-31 Piotr Garstecki , Trinh Xuan Hoang , Marek Cieplak

An appropriate model for the random energy landscape in organic glasses is a spatially correlated Gaussian field. We calculated the distribution of the average value of a Gaussian random field in a finite domain. The results of the…

Disordered Systems and Neural Networks · Physics 2013-03-21 S. V. Novikov