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The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

Soft Condensed Matter · Physics 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

Nearly all dense suspensions undergo dramatic and abrupt thickening transitions in their flow behaviour when sheared at high stresses. Such transitions occur when the dominant interactions between the suspended particles shift from…

We study the uniaxial compressive behavior of disordered colloidal free-standing micropillars composed of a bidisperse mixture of 3 and 6 um polystyrene particles. Mechanical annealing of confined pillars enables variation of the packing…

Soft Condensed Matter · Physics 2015-06-22 Daniel J. Strickland , Yun-Ru Huang , Daeyeon Lee , Daniel S. Gianola

In this work we consider the steady state scaling behavior of directed percolation around the upper critical dimension. In particular we determine numerically the order parameter, its fluctuations as well as the susceptibility as a function…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , R. D. Willmann

The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a variety of contagious processes such as the spreading of…

Statistical Mechanics · Physics 2018-03-01 Lucas Böttcher , Hans Jürgen Herrmann , Malte Henkel

We study correlation properties of the generalized elastic model which accounts for the dynamics of polymers, membranes, surfaces and fluctuating interfaces, among others. We develop a theoretical framework which leads to the emergence of…

Statistical Mechanics · Physics 2012-03-19 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties extremely sensitive to the micro-scale material disorder. Therefore: (i) Fracturing systems often display a jerky dynamics, so-called crackling…

Statistical Mechanics · Physics 2010-01-04 D. Bonamy

Correlated structures are intimately connected to intriguing phenomena exhibited by a variety of disordered systems such as soft colloidal gels, bio-polymer networks and colloidal suspensions near a shear jamming transition. The universal…

Statistical Mechanics · Physics 2026-05-04 Jorge M. Escobar-Agudelo , Rui Aquino , Danilo B. Liarte

Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. We…

Soft Condensed Matter · Physics 2023-04-11 Edan Lerner , Eran Bouchbinder

Plastic deformation of heterogeneous solid structures is often characterized by random intermittent local plastic events. On the mesoscale this feature can be represented by a spatially fluctuating local yield threshold. Here we study the…

Statistical Mechanics · Physics 2023-02-16 Dénes Berta , Gábor Péterffy , Péter Dusán Ispánovity

Tuning shear thickening behavior is a longstanding problem in the field of dense suspensions. Acoustic perturbations offer a convenient way to control shear thickening in real time, opening the door to a new class of smart materials.…

We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

Soft Condensed Matter · Physics 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

There have been some interesting recent advances in understanding the notion of mechanical disorder in structural glasses and the statistical mechanics of these systems' low-energy excitations. Here we contribute to these advances by…

Soft Condensed Matter · Physics 2024-01-23 Tommaso Pettinari , Gustavo Düring , Edan Lerner

The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous media with incompressible constituents to sudden changes in…

Analysis of PDEs · Mathematics 2017-10-03 Maurizio Verri , Giovanna Guidoboni , Lorena Bociu , Riccardo Sacco

The effect of an electric field on conduction in a disordered system is an old but largely unsolved problem. Experiments cover an wide variety of systems - amorphous/doped semiconductors, conducting polymers, organic crystals, manganites,…

Disordered Systems and Neural Networks · Physics 2015-06-15 K. K. Bardhan , D. Talukdar , U. N. Nandi , C. D. Mukherjee

Plastic yield of amorphous solids occurs by power law distributed slip avalanches whose universality is still debated. Determination of the power law exponents from experiments and molecular dynamics simulations is hampered by limited…

The rigidity transition occurs when, as the density of microscopic components is increased, a disordered medium becomes able to transmit and ensure macroscopic mechanical stability, owing to the appearance of a space-spanning rigid…

Statistical Mechanics · Physics 2023-07-12 Nina Javerzat , Mehdi Bouzid

We investigate the disordering of an initially phase-segregated binary alloy, due to a highly mobile defect which couples to an electric or gravitational field. Using both mean-field and Monte Carlo methods, we show that the late stages of…

Statistical Mechanics · Physics 2009-10-31 Wannapong Triampo , Timo Aspelmeier , Beate Schmittmann

Viscoelasticity has been described since the time of Maxwell as an interpolation of purely viscous and purely elastic response, but its microscopic atomic-level mechanism in solids has remained elusive. We studied three model disordered…

Soft Condensed Matter · Physics 2017-02-03 Rico Milkus , Alessio Zaccone

Experimental observations and computer simulations have recently revealed universal aspects of polymer solution behaviour that were previously unknown. This progress has been made possible due to developments in experimental methodologies…

Soft Condensed Matter · Physics 2020-07-03 J. Ravi Prakash
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