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We study the origin of the scaling behavior in frictionless granular media above the jamming transition by analyzing their linear response. The response to local forcing is non-self-averaging and fluctuates over a length scale that diverges…

Soft Condensed Matter · Physics 2007-05-23 Wouter G. Ellenbroek , Ellak Somfai , Martin van Hecke , Wim van Saarloos

We study various properties of the vibrational normal modes for Coulomb-interacting particles in two-dimensional irregular confinement using numerical simulations. By analyzing the participation ratio and spectral statistics, we…

Disordered Systems and Neural Networks · Physics 2018-10-31 Biswarup Ash , Chandan Dasgupta , Amit Ghosal

We compare the harmonic and anharmonic properties of the vibrational modes in 3-dimensional jammed packings of frictionless spheres interacting via repulsive, finite range potentials. A crossover frequency is apparent in the density of…

Soft Condensed Matter · Physics 2010-06-25 Ning Xu , Vincenzo Vitelli , Andrea J. Liu , Sidney R. Nagel

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

Soft Condensed Matter · Physics 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

We study numerically the evolution of wavepackets in quasi one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets…

Condensed Matter · Physics 2009-10-28 F. M. Izrailev , T. Kottos , A. Politi , G. P. Tsironis

Vibrational spectra and normal modes of mechanically stable particle packings in three dimensions are analyzed over a range of compressions, from near the jamming transition, where the packings lose their rigidity, to far above it. At high…

Statistical Mechanics · Physics 2011-08-02 Leonardo E. Silbert , Andrea J. Liu , Sidney R. Nagel

We investigate correlations between low-frequency vibrational modes and rearrangements in two-dimensional colloidal glasses composed of thermosensitive microgel particles which readily permit variation of sample packing fraction. At each…

Soft Condensed Matter · Physics 2011-09-21 K. Chen , M. L. Manning , P. J. Yunker , W. G. Ellenbroek , Z. Zhang , Andrea J. Liu , A. G. Yodh

Low-frequency vibrational modes play a central role in determining various basic properties of glasses, yet their statistical and mechanical properties are not fully understood. Using extensive numerical simulations of several model glasses…

Soft Condensed Matter · Physics 2017-08-30 Edan Lerner , Gustavo Düring , Eran Bouchbinder

We comprehensively study mechanical and vibrational properties of dimer packings in three-dimensional space with particular attention on critical scaling behaviors near the jamming transition. First, we confirm the dependence of the packing…

Soft Condensed Matter · Physics 2020-06-26 Kumpei Shiraishi , Hideyuki Mizuno , Atsushi Ikeda

By means of two-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. We use irregular polygonal grains allowing for strong variability of solid fraction.…

Classical Physics · Physics 2016-08-16 Emilien Azema , Farhang Radjaï , Robert Peyroux , Frédéric Dubois , Gilles Saussine

We have analyzed spectra of localized microwave transmitted through quasi-1D random samples to obtain the central frequency, linewidth and field speckle pattern of the modes for an ensemble of samples at three lengths. We find strong…

Disordered Systems and Neural Networks · Physics 2012-10-02 Jing Wang

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

Using a recently introduced mapping between a scalar elastic network tethered at its boundaries and a diffusion problem with permanent traps, we study various vibrational properties of progressively tethered disordered fractals. Different…

Statistical Mechanics · Physics 2007-05-23 Sonali Mukherjee , Hisao Nakanishi

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 present simulations and a theoretical treatment of vertically vibrated granular media. The systems considered are confined in narrow quasi-two-dimensional and quasi-one-dimensional (column) geometries, where the vertical extension of the…

Soft Condensed Matter · Physics 2015-06-17 Nicolas Rivas , Stefan Luding , Anthony R Thornton

We study a quasi-Floquet state of a $\delta$-kicked rotor with absorbing boundaries focusing on the nature of the dynamical localization in open quantum systems. The localization lengths $\xi$ of lossy quasi-Floquet states located near the…

Quantum Physics · Physics 2009-11-13 Jung-Wan Ryu , G. Hur , Sang Wook Kim

The propagation of waves in highly inhomogeneous media is a problem of interest in multiple fields including seismology, acoustics and electromagnetism. It is also relevant for technological applications such as the design of sound…

Disordered Systems and Neural Networks · Physics 2013-05-29 Antonio M. Garcia-Garcia , Emilio Cuevas

By means of tree-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. The sample is composed of polyedric grains with a shape derived from digitalized…

Classical Physics · Physics 2008-07-22 Émilien Azema , F. Radjaï , R. Peyroux , Frédéric Dubois , G. Saussine

Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This…

Soft Condensed Matter · Physics 2016-06-22 Le Yan , Eric DeGiuli , Matthieu Wyart

We study the vibrational spectra of one-dimensional statically compressed granular crystals (arrays of elastic particles in contact) containing defects. We focus on the prototypical settings of one or two spherical defects (particles of…

Other Condensed Matter · Physics 2011-03-15 N. Boechler , G. Theocharis , Y. Man , P. G. Kevrekidis , C. Daraio
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