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Related papers: Numerical Study of Aging in the Generalized Random…

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The random first order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of ``entropic droplets'' in terms of libraries of local…

Soft Condensed Matter · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

The magnetisation relaxations of three different types of geometrically frustrated magnetic systems have been studied with the same experimental procedures as previously used in spin glasses. The materials investigated are Y$_2$Mo$_2$O$_7$…

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

We determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random Energy Model (REM) and its hierarchical generalization, the GREM. Our…

Mathematical Physics · Physics 2022-01-05 Chokri Manai , Simone Warzel

The spin glasses show intriguing characteristic features that are not well understood yet, as for instance its aging, rejuvenation and memory effects. Here a model based on a stretched exponential decay of its magnetization is proposed,…

Materials Science · Physics 2022-08-25 Leandro Bufaiçal

Examples of glasses are abundant, yet it remains one of the phases of matter whose understanding is very elusive. In recent years, remarkable experiments have been performed on the dynamical aspects of glasses. Electron glasses offer a…

Disordered Systems and Neural Networks · Physics 2017-08-23 Ariel Amir , Yuval Oreg , Yoseph Imry

We study theoretically the role of ageing in the rheology of soft materials. We define several generalized rheological response functions suited to ageing samples (in which time translation invariance is lost). These are then used to study…

Soft Condensed Matter · Physics 2007-05-23 S. M. Fielding , P. Sollich , M. E. Cates

This paper aims to experimentally and numerically probe fatigue behaviours and lifetimes of novel GLARE (glass laminate aluminium reinforced epoxy) laminates under random loading spectrum. A mixed algorithm based on fatigue damage concepts…

Applied Physics · Physics 2023-02-22 Zheng-Qiang Cheng , Wei Tan , Jun-Jiang Xiong , Er-Ming Hed , Tao-Huan Xiong , Ying-Peng Wang

The random energy model (REM) is the simplest spin glass model which exhibits replica symmetry breaking. It is well known since the 80's that its overlaps are non-selfaveraging and that their statistics satisfy the predictions of the…

Disordered Systems and Neural Networks · Physics 2024-08-28 Bernard Derrida , Peter Mottishaw

We present a novel mathematical model that seeks to capture the key design feature of generative adversarial networks (GANs). Our model consists of two interacting spin glasses, and we conduct an extensive theoretical analysis of the…

Mathematical Physics · Physics 2025-04-24 Nicholas P Baskerville , Jonathan P Keating , Francesco Mezzadri , Joseph Najnudel

Governing equations are derived for the kinetics of physical aging in polymeric glasses. An amorphous polymer is treated as an ensemble of cooperatively rearranged regions (CRR). Any CRR is thought of as a string of elementary clusters…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov

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

The equivalent circuit model for artificial magnetic materials based on various arrangements of split rings is generalized by taking into account losses in the substrate or matrix material. It is shown that a modification is needed to the…

Classical Physics · Physics 2015-06-26 Pekka Ikonen , Sergei Tretyakov

A random matrix approach to glassy physics is introduced. It leads to a class of models which exhibit both, glassy low-temperature phases, and double-- and single-well configurations in their potential energy. The distribution of parameters…

Disordered Systems and Neural Networks · Physics 2016-08-31 Reimer Kuehn , Uta Horstmann

We discuss a generalization of the conditions of validity of the interpolation method for the density of quenched free energy of mean field spin glasses. The condition is written just in terms of the $L^2$ metric structure of the Gaussian…

Mathematical Physics · Physics 2020-12-02 Roberto Boccagna , Davide Gabrielli

We study the effect of physical aging on the mechanical properties of a model polymer glass using molecular dynamics simulations. The creep compliance is determined simultaneously with the structural relaxation under a constant uniaxial…

Soft Condensed Matter · Physics 2009-11-13 Mya Warren , Joerg Rottler

Generative machine learning models can use data generated by scientific modeling to create large quantities of novel material structures. Here, we assess how one state-of-the-art generative model, the physics-guided crystal generation model…

It is well established that glassy materials can undergo aging, i.e., their properties gradually change over time. There is rapidly growing evidence that dense active and living systems also exhibit many features of glassy behavior, but it…

Statistical Mechanics · Physics 2022-03-29 Giulia Janzen , Liesbeth M. C. Janssen

We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a non-mean field model. Through small coupling series…

Statistical Mechanics · Physics 2014-09-09 Michele Castellana , Aurelien Decelle , Silvio Franz , Marc Mezard , Giorgio Parisi

We consider a generalized version of the Random Energy Model in which the energy of each configuration is given by the sum of $N$ independent contributions ("local energies") with finite variances but otherwise arbitrary statistics. Using…

Statistical Mechanics · Physics 2013-07-25 Florian Angeletti , Eric Bertin , Patrice Abry

It has recently been shown that thermal active glasses can display physical aging behavior comparable to that of passive glasses, although there are some notable distinctions due to the intrinsic non-equilibrium nature of active matter. The…

Soft Condensed Matter · Physics 2024-06-12 Giulia Janzen , Liesbeth M. C. Janssen