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We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method for relaxation. Some applications to specific relaxation…

Analysis of PDEs · Mathematics 2024-03-05 Ana Cristina Barroso , José Matias , Elvira Zappale

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

Structural relaxation in binary hard spherical particles has been shown recently to exhibit a wealth of remarkable features when size disparity or mixture's composition is varied. In this paper, we test whether or not similar dynamical…

Soft Condensed Matter · Physics 2014-12-03 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

On the basis of physical considerations we propose a one-dimensional discrete lattice model for the density relaxation of granular materials under tapping. Solving the difference equation numerically, we find a logarithmic time-dependence…

Soft Condensed Matter · Physics 2009-10-30 Gongwen Peng , Takao Ohta

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

Disordered Systems and Neural Networks · Physics 2018-08-23 Jie Yang , A. Alan Middleton

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

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically…

Statistical Mechanics · Physics 2015-05-28 Claudio Chamon , Federico Corberi , Leticia F. Cugliandolo

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated…

Disordered Systems and Neural Networks · Physics 2016-07-06 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We provide a compact derivation of the static and dynamic equations for infinite-dimensional particle systems in the liquid and glass phases. The static derivation is based on the introduction of an "auxiliary" disorder and the use of the…

Statistical Mechanics · Physics 2016-03-23 Jorge Kurchan , Thibaud Maimbourg , Francesco Zamponi

A glass is conventionally obtained by cooling a bulk supercooled liquid through its glass transition temperature. The discovery of ultrastable glasses prepared using physical vapor deposition, together with the recent multiplication of…

Statistical Mechanics · Physics 2026-05-13 Leonardo Galliano , Ludovic Berthier

We present an approach to approximating static properties of glasses without experimental inputs rooted in the first-principles random structure sampling. In our approach, the glassy system is represented by a collection (composite) of…

Materials Science · Physics 2025-10-02 Laszlo Wolf , Andrew Novick , Vladan Stevanović

We report on a refined version of our spin-glass type approach to the low-temperature physics of structural glasses. Its key idea is based on a Born von Karman expansion of the interaction potential about a set of reference positions in…

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Jens Urmann

The nature of glassy dynamics and the glass transition are long-standing problems under active debate. In the presence of a structural disorder widely believed to be an essential characteristic of structural glass, identifying and…

We study by Molecular Dynamics simulation a dense one-component system of particles confined on a spherical substrate. We more specifically investigate the evolution of the structural and dynamical properties of the system when changing the…

Soft Condensed Matter · Physics 2018-05-23 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

Patterns are quotidian in nature. Distinct multiscale patterns are generally a consequence of nonequilibrium dynamical processes associated with mechanical or hydrodynamic instabilities. In this thesis, I report experimental investigations…

Soft Condensed Matter · Physics 2019-05-30 Xiaolei Ma

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo

A simple theory for glassy polymeric mechanical response which accounts for large scale chain relaxation is presented. It captures the crossover from perfect-plastic response to strong strain hardening as the degree of polymerization $N$…

Soft Condensed Matter · Physics 2015-05-18 Robert S. Hoy , Corey S. O'Hern

Using molecular simulations and theory, we develop an explicit mapping of the contribution of molecular relaxation modes in glassy thermosets to the shear modulus, where the relaxations were tuned by altering the polarity of side groups.…

Materials Science · Physics 2019-10-15 Robert M. Elder , Alessio Zaccone , Timothy W. Sirk

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

A two-dimensional lattice of oscillators with identical (zero) intrinsic frequencies and Kuramoto type of interactions with randomly frustrated couplings is considered. Starting the time evolution from slightly perturbed synchronized…

Disordered Systems and Neural Networks · Physics 2025-05-06 Róbert Juhász , Géza Ódor