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The translational symmetry of solids gives rise to the existence of low-frequency phonons. In ordered systems, some phonons characterized by different wavevectors are degenerate, i.e. they share the same frequency $\omega$; in finite-size…

Statistical Mechanics · Physics 2018-08-08 Eran Bouchbinder , Edan Lerner

We propose a new method to characterize the spatial distribution of particles' vibrations in solids with much lower computational costs compared to the usual normal mode analysis. We excite the specific vibrational mode in a two dimensional…

Soft Condensed Matter · Physics 2016-05-24 Elsen Tjhung , Takeshi Kawasaki

We study various manifestations of structural crossover in the properties of a binary mixture of hard-spheres. For homogeneous mixtures that are sufficiently asymmetric, there is a crossover line in the phase diagram such that for…

Soft Condensed Matter · Physics 2009-11-11 C. Grodon , M. Dijkstra , R. Evans , R. Roth

We study the critical behavior of low-frequency vibrations of packings with pinned particles near the jamming point. Soft modes form a plateau in the density of states and its frequency is controlled by the contact number as the ordinary…

Soft Condensed Matter · Physics 2025-12-08 Kumpei Shiraishi , Yusuke Hara

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

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

We consider a class of random block matrix models in $d$ dimensions, $d \ge 1$, motivated by the study of the vibrational density of states (DOS) of soft spheres near the isostatic point. The contact networks of average degree $Z = z_0 +…

Disordered Systems and Neural Networks · Physics 2020-01-09 Mario Pernici

In this thesis I present most of the results obtained during my PhD, where I worked on different subjects regarding jamming in systems of frictionless spheres. In particular, I focused on microscopic properties of jammed packings, such as…

Soft Condensed Matter · Physics 2021-07-09 Díaz Hernández Rojas , Rafael

We experimentally study the vicinity of the Jamming transition by investigating the statics and the dynamics of the contact network of an horizontally shaken bi-disperse packing of photo-elastic discs. Compressing the packing very slowly,…

Soft Condensed Matter · Physics 2015-06-04 C. Coulais , R. P. Behringer , O. Dauchot

We perform computational studies of jammed particle packings in two dimensions undergoing isotropic compression using the well-characterized soft particle (SP) model and the deformable particle (DP) model that we developed for compressed…

Plasmon modes of a two-dimensional lattice of long conducting circular wires are investigated by using an embedding technique to solve Maxwell's equations rigorously. The frequency-dependent density of states is calculated for various…

Materials Science · Physics 2007-05-23 J. M. Pitarke , J. E. Inglesfield , N. Giannakis

Disks of two sizes are confined to a long and narrow channel. The axis and the plane of the channel are horizontal. The channel is closed off by pistons that freeze jammed microstates out of loose disk configurations, agitated randomly at…

Soft Condensed Matter · Physics 2025-12-12 Dan Liu , Michael Karbach , Gerhard Müller

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally…

Soft Condensed Matter · Physics 2015-06-22 Remi Dreyfus , Ye Xu , Tim Still , Lawrence A. Hough , A. G. Yodh , Salvatore Torquato

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

When we elastically impose a homogeneous, affine deformation on amorphous solids, they also undergo an inhomogeneous, non-affine deformation, which can have a crucial impact on the overall elastic response. To correctly understand the…

Soft Condensed Matter · Physics 2016-06-22 Hideyuki Mizuno , Kuniyasu Saitoh , Leonardo E. Silbert

We demonstrate the existence of high--order jamming crossovers in systems of particles with repulsive contact interactions, which originate from the collapse of successive coordination shells. At zero temperature, these crossovers induce an…

Soft Condensed Matter · Physics 2014-01-21 Massimo Pica Ciamarra , Peter Sollich

We use numerical simulations to study the behavior of 2D frictionless disk systems under cyclic shear as a function of reversal amplitude \gamma_r. Our studies focus on mean bulk and disk dynamics. These measurements suggest a crossover…

Soft Condensed Matter · Physics 2014-06-11 Mitch Mailman , Michelle Girvan , Wolfgang Losert

A theoretical analysis of the scattering of plane-wave atomic excitations in disordered solids has been made in terms of the spectral densities. Hybridization between transverse and longitudinal waves of approximately the same frequency is…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. N. Taraskin , S. R. Elliott

A granular-matter model is exactly solved, where disks of two sizes and weights in alternating sequence are confined to a narrow channel. The axis of the channel is horizontal and its plane vertical. Disk sizes and channel width are such…

Soft Condensed Matter · Physics 2020-11-23 Dan Liu , Gerhard Müller

We perform Discrete Element Method (DEM) simulations of granular particles (polystyrene spheres) vibrated inside a cubic container. The study investigates the evolution of the packing fraction with and without rotational friction at…

Soft Condensed Matter · Physics 2026-03-03 Linnea Heitmeier , Jan Gabriel