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A directly measurable correlation length may be defined for systems having a two-step relaxation, based on the geometric properties of density profile that remains after averaging out the fast motion. We argue that the length diverges if…

Statistical Mechanics · Physics 2015-05-19 Jorge Kurchan , Dov Levine

The prime numbers have been a source of fascination for millenia and continue to surprise us. Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materials science, we show that the prime numbers in…

Statistical Mechanics · Physics 2018-09-26 S. Torquato , G. Zhang , M. de Courcy-Ireland

We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up…

Statistical Mechanics · Physics 2009-03-19 Fabio Leoni , Stefano Zapperi

We investigate the nature of randomness in disordered packings of frictional spheres. We calculate the entropy of 3D packings through the force and volume ensemble of jammed matter, a mesoscopic ensemble and numerical simulations using…

Soft Condensed Matter · Physics 2014-09-15 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

The non-equilibrium dynamics of three paradigmatic models for two-dimensional systems with quenched disorder is studied with a focus on the existence and analysis of a growing length scale during aging at low temperatures: 1) The random…

Disordered Systems and Neural Networks · Physics 2009-11-10 Heiko Rieger , Gregory Schehr , Raja Paul

We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple…

Soft Condensed Matter · Physics 2024-02-23 R. Peredo-Ortiz , O. Joaquín-Jaime , L. López-Flores , M. Medina-Noyola , L. F. Elizondo-Aguilera

We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the…

Statistical Mechanics · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry

At low volume fraction, disordered arrangements of frictionless spheres are found in un--jammed states unable to support applied stresses, while at high volume fraction they are found in jammed states with mechanical strength. Here we show,…

Soft Condensed Matter · Physics 2015-03-17 Massimo Pica Ciamarra , Antonio Coniglio , Antonio de Candia

We use liquid state theory and computer simulations to gain insights into the shape of the structure factor for fluids of particles interacting via a combination of short-range attractions and long-range repulsions. Such systems can…

Soft Condensed Matter · Physics 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

Positional disorder has been introduced into the atomic structure of certain crystalline lattices, and the orientationally-averaged structure factor S(k) and pair-correlation function g(r) of these disordered lattices have been studied.…

Materials Science · Physics 2009-11-10 J. K. Christie , S. N. Taraskin , S. R. Elliott

The aging of a charged colloidal system has been studied by Small Angle X-rays Scattering, in the exchanged momentum range Q=0.03 - 5 nm-1, and by Dynamic Light Scattering, at different clay concentrations (Cw =0.6 % - 2.8 %). The static…

Soft Condensed Matter · Physics 2009-11-13 B. Ruzicka , L. Zulian , R. Angelini , M. Sztucki , A. Moussaid , G. Ruocco

We study by molecular dynamics the interplay between arrest and crystallization in hard spheres. For state points in the plane of volume fraction ($0.54 \leq phi \leq 0.63$) and polydispersity ($0 \leq s \leq 0.085$), we delineate states…

Soft Condensed Matter · Physics 2009-10-21 E. Zaccarelli , C. Valeriani , E. Sanz , W. C. K. Poon , M. E. Cates , P. N. Pusey

Jamming is a geometric phase transition occurring in dense particle systems in the absence of temperature. We use computer simulations to analyse the effect of thermal fluctuations on several signatures of the transition. We show that…

Statistical Mechanics · Physics 2015-07-16 Atsushi Ikeda , Ludovic Berthier

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

Statistical Mechanics · Physics 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

The nature of randomness in disordered packings of frictional and frictionless spheres is investigated using theory and simulations of identical spherical grains. The entropy of the packings is defined through the force and volume ensemble…

Soft Condensed Matter · Physics 2015-05-14 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

Supercooled liquids and dense colloids exhibit anomalous behaviour known as "spatially heterogeneous dynamics" (SHD), which becomes increasingly pronounced with approach to the glass transition. Recently, SHD has been observed in confined…

Soft Condensed Matter · Physics 2010-12-23 Aaron S. Keys , Adam R. Abate , Sharon C. Glotzer , Douglas J. Durian

We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and transport properties, or the way forces propagate…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

A fundamental paradigm in polymer physics is that macromolecular conformations in equilibrium can be described by universal scaling laws, being key for structure, dynamics, and function of soft (biological) matter and in the materials…

Soft Condensed Matter · Physics 2021-09-22 Michael Bley , Upayan Baul , Joachim Dzubiella

We use a random pinning procedure to investigate stable glassy states associated with large deviations of the activity in a model glass-former. We pin particles both from active (equilibrium) configurations and from stable (inactive) glassy…

Statistical Mechanics · Physics 2014-07-02 Christopher J. Fullerton , Robert L. Jack
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