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Some aspects of how sound waves travel through disordered solids are still unclear. Recent work has characterized a feature of disordered solids which seems to influence vibrational excitations at the mesoscales, local elastic…

Soft Condensed Matter · Physics 2019-12-05 H. Mizuno , S. 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

Disordered solids exhibit unusual properties of their vibrational states and thermal conductivities. Recent progresses have well established the concept of "elastic heterogeneity", i.e., disordered materials show spatially inhomogeneous…

Disordered Systems and Neural Networks · Physics 2014-01-09 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

Some facets of the way sound waves travel through glasses are still unclear. Recent works have shown that in the low-temperature harmonic limit a crucial role in controlling sound damping is played by local elastic heterogeneity. Sound…

Materials Science · Physics 2020-06-01 Hideyuki Mizuno , Giancarlo Ruocco , Stefano Mossa

Comprehending sound damping is integral to understanding the anomalous low temperature properties of glasses. Despite decades of studies, the underlying mechanism of sound damping in glasses is still debated. In this perspective we review…

Disordered Systems and Neural Networks · Physics 2025-08-15 Grzegorz Szamel , Elijah Flenner

Acoustic vibrations of nanoparticles made of materials with anisotropic elasticity and nanoparticles with non-spherical shapes are theoretically investigated using a homogeneous continuum model. Cubic, hexagonal and tetragonal symmetries of…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Lucien Saviot , Daniel B. Murray

The spectrum of acoustic vibrational modes of an inhomogeneous elastic continuum are analyzed with application to a spherical nanoparticle embedded in an infinite glass block. The relationship of these modes to the discrete vibrational…

Materials Science · Physics 2007-05-23 Daniel B. Murray , Lucien Saviot

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

The universal anomalous vibrational and thermal properties of amorphous solids are believed to be related to the local variations of the elasticity. Recently it has been shown that the vibrational properties are sensitive to the glass's…

Soft Condensed Matter · Physics 2019-09-30 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

Glasses are amorphous solids, in the sense that they display elastic behaviour. In crystals, elasticity is associated with phonons, quantized sound-wave excitations. Phonon-like excitations exist also in glasses at very high frequencies…

Condensed Matter · Physics 2016-08-31 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

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

The glass is a disordered solid that processes distinct dynamical and elastic properties compared with crystal. How heterogeneous glassy materials can be and to what extent dynamics is encoded with structure and elasticity are long-standing…

Soft Condensed Matter · Physics 2019-04-02 Bo Li , Kai Lou , Walter Kob , Steve Granick

We propose an explanation for the quadratic dependence on the momentum $Q$, of the broadening of the acoustic excitation peak recently found in the study of the dynamic structure factor of many real and simulated glasses. We ascribe the…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Montagna , G. Ruocco , G. Viliani , R. Di Leonardo , R. Dusi , G. Monaco , M. Sampoli , T. Scopigno

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

Amorphous solids are mechanically rigid while possessing a disordered structure similar to that of dense liquids. Recent research indicates that dynamical heterogeneity, spatio-temporal fluctuations in local dynamical behavior, might help…

Statistical Mechanics · Physics 2011-06-10 Ludovic Berthier

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

Soft Condensed Matter · Physics 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

The concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. While in glasses instantaneous configurations correspond to minima of the potential-energy hypersurface and all…

Disordered Systems and Neural Networks · Physics 2023-02-07 Stefano Mossa , Taras Bryk , Giancarlo Ruocco , Walter Schirmacher

This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous material consisting of an ambient material with inserted…

Analysis of PDEs · Mathematics 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

Understanding the difference between universal low-temperature properties of amorphous and crystalline solids requires an explanation of the stronger damping of long-wavelength phonons in amorphous solids. A longstanding sound attenuation…

Soft Condensed Matter · Physics 2019-09-18 Lijin Wang , Ludovic Berthier , Elijah Flenner , Pengfei Guan , Grzegorz Szamel
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