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Vibrational density of states of a classical two-dimensional electron system obtained with a molecular-dynamics simulation is shown to have a peak in both solid and liquid phases. From an exact diagonalisation of the dynamical matrix, the…

Strongly Correlated Electrons · Physics 2009-10-31 Satoru Muto , Hideo Aoki

We study theoretically and numerically the elastic properties of hard sphere glasses, and provide a real-space description of their mechanical stability. In contrast to repulsive particles at zero-temperature, we argue that the presence of…

Soft Condensed Matter · Physics 2015-06-18 E. DeGiuli , E. Lerner , C. Brito , M. Wyart

Our understanding of vibrations in solids currently rests on concepts and techniques designed for crystals and explicitly relying on periodicity, hence inapplicable to amorphous materials. As a consequence, no established framework enables…

Disordered Systems and Neural Networks · Physics 2026-04-21 Nikita S Shcheblanov , Anaël Lemaître

Using heterogeneous-elasticity theory (HET) and a generalisation of HET theory (GHET), obtained by applying a newly developed procedure for obtaining the continuum limit of the glass's Hessian, we investigate the nature of vibrational…

Disordered Systems and Neural Networks · Physics 2024-04-11 Walter Schirmacher , Matteo Paoluzzi , Felix Cosmin Mocanu , Dmytro Khomenko , Grzegorz Szamel , Francesco Zamponi , Giancarlo Ruocco

It is now well established that structural glasses possess disorder- and frustration-induced soft quasilocalized excitations, which play key roles in various glassy phenomena. Recent work has established that in model glass-formers in three…

Soft Condensed Matter · Physics 2018-08-08 Geert Kapteijns , Eran Bouchbinder , Edan Lerner

The findings of X-ray and neutron scattering experiments on amorphous systems are interpreted within the framework of the theory of Euclidean random matrices. This allows to take into account the topological nature of the disorder, a key…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

We compare the vibrational properties of model SiO_2 glasses generated by molecular-dynamics simulations using the effective force field of van Beest et al. (BKS) with those obtained when the BKS structure is relaxed using an ab initio…

Statistical Mechanics · Physics 2009-11-07 Magali Benoit , Walter Kob

We examine here various aspects of the statics and dynamics of disordered elastic systems such as manifolds and periodic systems. Although these objects look very similar and indeed share some underlying physics, periodic systems constitute…

Disordered Systems and Neural Networks · Physics 2008-02-03 Thierry Giamarchi , Pierre Le Doussal

Topological defects are singularities within a field that cannot be removed by continuous transformations. The definition of these irregularities requires an ordered reference configuration, calling into question whether they exist in…

Soft Condensed Matter · Physics 2025-01-06 Vinay Vaibhav , Arabinda Bera , Amelia C. Y. Liu , Matteo Baggioli , Peter Keim , Alessio Zaccone

We construct a quantum mechanical model of perfectly isotropic amorphous solids as fuzzy crystals and establish an analytical theory of vibrations for glasses at low temperature. Our theoretical framework relies on the basic principle that…

Disordered Systems and Neural Networks · Physics 2021-05-21 T. Cardoso e Bufalo , R. Bufalo , A. Tureanu

We show that harmonic vibrations in amorphous silicon can be decomposed to transverse and longitudinal components in all frequency range even in the absence of the well defined wave vector ${\bf q}$. For this purpose we define the…

Disordered Systems and Neural Networks · Physics 2016-01-20 Y. M. Beltukov , C. Fusco , A. Tanguy , D. A. Parshin

The nature of bosonic excitations in disordered materials has remained elusive due to the difficulties in defining key concepts such as quasi-particles in the presence of disorder. We report on the experimental observation of…

Disordered Systems and Neural Networks · Physics 2021-01-05 Luigi Casella , Matteo Baggioli , Tatsuya Mori , Alessio Zaccone

Hierarchical dynamics in glass-forming systems span multiple timescales, from fast vibrations to slow structural rearrangements, appearing in both supercooled fluids and glassy states. Understanding how these diverse processes interact…

Soft Condensed Matter · Physics 2025-05-28 Wensi Sun , Yanshuang Chen , Wencheng Ji , Yi Zhou , Hua Tong , Ke Chen , Xiaosong Chen , Hajime Tanaka , Peng Tan

Experimental results on the density of states and on the acoustic modes of glasses in the THz region are compared to the predictions of two categories of models. A recent one, solely based on an elastic instability, does not account for…

Disordered Systems and Neural Networks · Physics 2011-09-16 B. Rufflé , D. A. Parshin , E. Courtens , R. Vacher

The boson peak (BP) is a universal feature in the Raman and inelastic scattering spectra of both disordered and crystalline materials. The current paradigm presents the boson peak as the result of a Ioffe-Regel crossover between ballistic…

Disordered Systems and Neural Networks · Physics 2022-01-14 Zeng-Yu Yang , Yun-Jiang Wang , Alessio Zaccone

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

The study of the effects of the density variations on the vibrational dynamics in vitreous silica is presented. A detailed analysis of the dynamical structure factor, as well as of the current spectra, allows the identification of a…

Disordered Systems and Neural Networks · Physics 2009-11-10 O. Pilla , A. Fontana , J. R. Goncalves , G. Viliani , L. Angelani

We study the vibrational spectra and the specific heat of disordered systems using an effective hydrodynamic framework. We consider the contribution of diffusive modes, i.e. the 'diffusons', to the density of states and the specific heat.…

Disordered Systems and Neural Networks · Physics 2019-08-21 Matteo Baggioli , Alessio Zaccone

We vary the amplitude of the long-range Coulomb forces within a classical potential describing a model silica glass and study the consequences on the structure and dynamics of the glass, via molecular dynamics simulations. This model allows…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. Jund , M. Rarivomanantsoa , R. Jullien

Boson peak (BP) dynamics refers to the universal excitation in the terahertz region of glass. In this study, the universal dynamics of BP were quantitatively evaluated in various glassy materials based on the heterogeneous elasticity theory…

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