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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

The low-temperature properties of amorphous solids are widely believed to be controlled by low-frequency quasi-localized modes. What governs their spatial structure and density is however debated. We study these questions numerically in…

Disordered Systems and Neural Networks · Physics 2019-07-17 Masanari Shimada , Hideyuki Mizuno , Matthieu Wyart , Atsushi Ikeda

While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation; at high temperatures, this understanding must accommodate how phonons…

Materials Science · Physics 2015-10-20 Tian Lan

Amorphous solids are dynamically inhomogeneous due to in lack of translational symmetry and hence exhibit vibrational properties different from crystalline solids with anomalous low frequency vibrational density of states (VDOS) and related…

Soft Condensed Matter · Physics 2025-08-01 Cunyuan Jiang

The phonon spectra of solids, described through the measurable vibrational density of states (VDOS), provide a wealth of information about the underlying atomic structure and bonding, and they determine fundamental macroscopic properties…

Materials Science · Physics 2020-03-11 Matteo Baggioli , Alessio Zaccone

It is a persistent problem in condensed matter physics that glasses exhibit vibrational and thermal properties that are markedly different from those of crystals. While recent works have advanced our understanding of vibrational excitations…

Soft Condensed Matter · Physics 2020-10-16 Hideyuki Mizuno , Hua Tong , Atsushi Ikeda , Stefano Mossa

In crystals, molecules thermally vibrate around the periodic lattice sites. Vibrational motions are well understood in terms of phonons, which carry heat and control heat transport. The situation is notably different in disordered solids,…

Soft Condensed Matter · Physics 2016-10-25 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

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 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

Anharmonic lattice vibrations govern the thermal dynamics in materials and present how the atoms interact and how they conduct heat. An indepth understanding of the microscopic mechanism of phonon anharmonicity in condensed systems is…

Materials Science · Physics 2021-12-30 Bin Wei , Qiyang Sun , Chen Li , Jiawang Hong

Amorphous solids manifest puzzling effects of mysterious degrees of freedom that give rise to a heat capacity and phonon scattering in great excess over what would be expected for a solid that has a unique vibrational ground state. Of…

Disordered Systems and Neural Networks · Physics 2018-10-11 Vassiliy Lubchenko

Theoretical frameworks used to qualitatively and quantitatively describe nuclear dynamics in solids are often based on the harmonic approximation. However, this approximation is known to become inaccurate or to break down completely in many…

Materials Science · Physics 2020-09-02 Florian Knoop , Thomas A. R. Purcell , Matthias Scheffler , Christian Carbogno

Knowledge of lattice anharmonicity is essential to elucidate distinctive thermal properties in crystalline solids. Yet, accurate \textit{ab initio} investigations of lattice anharmonicity encounter difficulties owing to the cumbersome…

Materials Science · Physics 2022-04-13 Zhen Zhang , Dong-Bo Zhang , Tao Sun , Renata M. Wentzcovitch

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

The low-frequency vibrational and low-temperature thermal properties of amorphous solids are markedly different from those of crystalline solids. This situation is counter-intuitive because any solid material is expected to behave as a…

Soft Condensed Matter · Physics 2017-11-16 Hideyuki Mizuno , Hayato Shiba , Atsushi Ikeda

We study the motion of strongly inelastic particles in a narrow vibrating tube using molecular dynamics simulation. At low frequency of the vibration, we observe qualitative changes of the motion, as the depth of the pile increases. The…

Statistical Mechanics · Physics 2009-10-31 Jysoo Lee

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

The vibrational density of states $D(\omega)$ of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye's law, $D(\omega) \propto…

Soft Condensed Matter · Physics 2021-12-01 Shivam Mahajan , Massimo Pica Ciamarra

Atomic vibrations in perfect, slightly defective or mixed crystals are to a large extent well understood since many decades. Theoretical descriptions are thus in excellent agreement with the experiments. As a consequence, phonon-related…

Disordered Systems and Neural Networks · Physics 2021-01-12 Benoit Rufflé , Marie Foret , Bernard Hehlen

In glasses, atomic disorder combined with atomic connectivity makes understanding of the nature of the vibrations much more complex than in crystals or molecules. With a simple model, however, it is possible to show how disorder generates…

Disordered Systems and Neural Networks · Physics 2019-08-23 B. Hehlen , B. Rufflé
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