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Related papers: Normal Modes in Model Jammed Systems in Three Dime…

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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

Normal modes provide a fundamental basis for understanding crucial properties of solids, such as the thermal conductivity, the heat capacity and the sound propagation. While the normal modes are excellently described by plane waves in…

Soft Condensed Matter · Physics 2011-04-04 Peng Tan , Ning Xu , A. B. Schofield , Lei Xu

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

We study the structural and mechanical properties of jammed ellipse packings, and find that the nature of the jamming transition in these systems is fundamentally different from that for spherical particles. Ellipse packings are generically…

Soft Condensed Matter · Physics 2015-05-13 Mitch Mailman , Carl F. Schreck , Corey S. O'Hern , Bulbul Chakraborty

The jamming transition of soft particles characterized by narrow size distributions has been well studied by physicists. However, polydispersed systems are more relevant to engineering, and the influence of polydispersity on jamming…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Brian P. Tighe

We investigate the structural, vibrational, and mechanical properties of jammed packings of deformable particles with shape degrees of freedom in three dimensions (3D). Each 3D deformable particle is modeled as a surface-triangulated…

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 investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density $ \rho_J $ there is a mixed-order phase transition in which a finite fraction of…

Statistical Mechanics · Physics 2017-06-08 Nimrod Segall , Eial Teomy , Yair Shokef

As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further…

Soft Condensed Matter · Physics 2013-11-25 Samuel S. Schoenholz , Carl P. Goodrich , Oleg Kogan , Andrea J. Liu , Sidney R. Nagel

We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all…

Soft Condensed Matter · Physics 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

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

Glasses have a large excess of low-frequency vibrational modes in comparison with most crystalline solids. We show that such a feature is a necessary consequence of the weak connectivity of the solid, and that the frequency of modes in…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart , Leonardo E. Silbert , Sidney R. Nagel , Thomas A. Witten

We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio $\epsilon$ and packing fraction. At the jamming transition for ellipsoids, as distinct from the…

Soft Condensed Matter · Physics 2009-11-08 Z. Zeravcic , N. Xu , A. J. Liu , S. R. Nagel , W. van Saarloos

We report an analytical study of the vibrational spectrum of the simplest model of jamming, the soft perceptron. We identify two distinct classes of soft modes. The first kind of modes are related to isostaticity and appear only in the…

Disordered Systems and Neural Networks · Physics 2015-11-30 Silvio Franz , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We analyze low-frequency vibrational modes in a two-dimensional, zero-temperature, quasistatically sheared model glass to identify a population of structural "soft spots" where particle rearrangements are initiated. The population of spots…

Soft Condensed Matter · Physics 2015-05-20 M. Lisa Manning , Andrea J. Liu

Soft, amorphous solids such as tissues, foams, and emulsions are composed of deformable particles. However, the effect of single-particle deformability on the collective behavior of soft solids is still poorly understood. We perform…

Soft Condensed Matter · Physics 2021-06-02 John D. Treado , Dong Wang , Arman Boromand , Michael P. Murrell , Mark D. Shattuck , Corey S. O'Hern

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 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

The structural properties of static, jammed packings of monodisperse spheres in the vicinity of the jamming transition are investigated using large-scale computer simulations. At small wavenumber $k$, we argue that the anomalous behavior in…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert , Moises Silbert

Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

Soft Condensed Matter · Physics 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe
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