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The mechanical failure of amorphous media is a ubiquitous phenomenon from material engineering to geology. It has been noticed for a long time that the phenomenon is "scale-free", indicating some type of criticality. In spite of attempts to…

Disordered Systems and Neural Networks · Physics 2017-09-20 Itamar Procaccia , Corrado Rainone , Murari Singh

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

Materials Science · Physics 2013-04-02 T. Frolov , Y. Mishin

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

Quantum Physics · Physics 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

We give a statistical-mechanical theory of stress transmission in disordered arrays of rigid grains with perfect friction. Starting from the equations of microscopic force and torque balance we derive the fundamental equations of stress…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. F. Edwards , D. V. Grinev

We study the competition between thermal fluctuations and stress enhancement in the failure process of a disordered system by using a local load sharing fiber bundle model. The thermal noise is introduced by defining a failure probability…

Disordered Systems and Neural Networks · Physics 2021-02-24 Santanu Sinha , Subhadeep Roy , Alex Hansen

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we review the current understanding of the…

Soft Condensed Matter · Physics 2015-05-14 M van Hecke

The onset of irreversible deformation in low-temperature amorphous solids is due to the accumulation of elementary events, consisting of spacially and temporally localized atomic rearrangements involving only a few tens of atoms. Recently,…

Soft Condensed Matter · Physics 2016-10-12 Francesco Puosi , Joerg Rottler , Jean-Louis Barrat

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

We numerically analyse the density field of three-dimensional randomly jammed packings of monodisperse soft frictionles spherical particles, paying special attention to fluctuations occurring at large lengthscales. We study in detail the…

Statistical Mechanics · Physics 2017-05-18 Atsushi Ikeda , Ludovic Berthier , Giorgio Parisi

We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Antonios Papaioannou , Dmitry S. Novikov , Els Fieremans , Gregory S. Boutis

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

Statistical Mechanics · Physics 2013-05-29 Claudio Giberti , Lamberto Rondoni

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a ``reference state''. In particular, the evolution of such systems must have a…

Quantum Physics · Physics 2007-05-23 J. Andries , F. Benatti , M. De Cock , M. Fannes

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia

We comprehend the role of imperfections in materials consisting of interacting particles, arising from different origins on their universal features. Specifically, we report the static and dynamic responses in a cluster of Coulomb…

Disordered Systems and Neural Networks · Physics 2023-04-26 Prashanti Jami , Biswarup Ash , Amit Ghosal

In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension. The model is a system of particles interacting through a two length scales…

Soft Condensed Matter · Physics 2016-02-17 Elsa M. de la Calleja-Mora , Leandro B. Krott , Marcia C. Barbosa

The compressive yield stress of particle gels shows a highly nonlinear dependence on the packing fraction. We have studied continuous compression processes, and discussed the packing fraction dependence with the particle scale…

Soft Condensed Matter · Physics 2013-11-22 Ryohei Seto , Robert Botet , Martine Meireles , Günter K. Auernhammer , Bernard Cabane

We present an extensive numerical study of dynamical heterogeneities and their influence on diffusion in an athermal mesoscopic model for actively deformed amorphous solids. At low strain rates the stress dynamics are governed by…

Materials Science · Physics 2011-11-04 Kirsten Martens , Lyderic Bocquet , Jean-Louis Barrat

Although jammed granular systems are athermal, several thermodynamic-like descriptions have been proposed which make quantitative predictions about the distribution of volume and stress within a system and provide a corresponding…

Soft Condensed Matter · Physics 2015-06-05 James G. Puckett , Karen E. Daniels

We study the localization properties of normal modes in harmonic chains with mass and spring weak disorder. Using a perturbative approach, an expression for the localization length is obtained, which is valid for arbitrary correlations of…

Disordered Systems and Neural Networks · Physics 2023-03-09 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We present a computational investigation on the slow dynamics of a mixture of large and small soft spheres. By varying the size disparity at a moderate fixed composition different relaxation scenarios are observed for the small particles.…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero