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We investigate a prominent vibrational feature in amorphous silica, the so-called boson peak, by means of molecular dynamics computer simulations. The dynamic structure factor S(q,nu) in the liquid, as well as in the glass state, scales…

Statistical Mechanics · Physics 2009-10-31 Jurgen Horbach , Walter Kob , Kurt Binder

The vibrational properties of model amorphous materials are studied by combining complete analysis of the vibration modes, dynamical structure factor and energy diffusivity with exact diagonalization of the dynamical matrix and the Kernel…

Disordered Systems and Neural Networks · Physics 2016-02-18 Y. M. Beltukov , C. Fusco , D. A. Parshin , A. Tanguy

The boson peak (BP) is an excess of vibrational states over the Debye law appearing at terahertz frequencies. It is found in all glasses and marks the crossover between the long-wavelength behavior, where the solid can be considered as an…

Disordered Systems and Neural Networks · Physics 2020-11-23 Giacomo Baldi , Aldo Fontana , Giulio Monaco

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

Boson peak, the excess low energy excitations in the terahertz regime, is one of the most unique features of disordered systems and has been linked to many anomalous properties of glass materials. The nature and structural origin of the…

We show that the same physical mechanism is fundamental for two seemingly different phenomena such as the formation of two-level systems in glasses and the Boson peak in the reduced density of low-frequency vibrational states g(w)/w^2. This…

Disordered Systems and Neural Networks · Physics 2010-08-02 D. A. Parshin , V. L. Gurevich , H. R. Schober

The Boson peak (BP), an excess of vibrational density of states, is ubiquitous for amorphous materials and is believed to hold the key to understanding the dynamics of glass and glass transition. Previous studies have established an energy…

Materials Science · Physics 2023-11-08 X. Y. Li , H. P. Zhang , S. Lan , D. L. Abernathy , C. H. Hu , L. R. Fan , M. Z. Li , X. -L. Wang

A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations, on top of the Debye spectrum $D_{\rm Debye}(\omega)$ of phonons ($\omega$ denotes the vibrational frequency), which exist in…

Soft Condensed Matter · Physics 2023-08-25 Edan Lerner , Eran Bouchbinder

A simple model of harmonic vibrations in topologically disordered systems, such as glasses and supercooled liquids, is studied analytically by extending Euclidean Random Matrix Theory to include vector vibrations. Rather generally, it is…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Ciliberti , T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

We study, analytically and numerically, an off-lattice model of scalar harmonic vibrations for structural glasses. The model has a Boson-Peak which we argue can be considered as a prototype for materials with a Boson Peak frequency that…

Condensed Matter · Physics 2007-05-23 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

The Boson peak is believed to be the key to the fundamental understanding of the anomalous thermodynamic properties of glasses, notably the anomalous peak in the heat capacity at low temperatures; it is believed to be due to an excess of…

Soft Condensed Matter · Physics 2014-03-13 Rojman Zargar , John Russo , Peter Schall , Hajime Tanaka , Daniel Bonn

The excess low-frequency vibrational spectrum, called boson peak, and non-affine elastic response are the most important particularities of glasses. Herein, the vibrational and mechanical properties of polymeric glasses are examined by…

Soft Condensed Matter · Physics 2019-12-24 Naoya Tomoshige , Hideyuki Mizuno , Tatsuya Mori , Kang Kim , Nobuyuki Matubayasi

We conduct experiments on two-dimensional packings of colloidal thermosensitive hydrogel particles whose packing fraction can be tuned above the jamming transition by varying the temperature. By measuring displacement correlations between…

Glasses are structurally disordered solids that host, in addition to crystalline-like phonons, vibrational excitations with no direct phononic counterpart. A long-standing universal signature is the excess vibrational density of…

Soft Condensed Matter · Physics 2026-01-28 Hideyuki Mizuno , Emi Minamitani

The emergence of excess vibrational modes over the Debye prediction, typically manifested as the well-known boson peak in the plot of vibrational density of states scaled by the Debye prediction, has become a hallmark of various amorphous…

Soft Condensed Matter · Physics 2026-01-08 Licun Fu , Xinyu Chang , Lijin Wang

We present the results of extensive molecular dynamics computer simulations in which the high frequency dynamics of silica, nu>0.5 THz, is investigated in the viscous liquid state as well as in the glass state. We characterize the…

Statistical Mechanics · Physics 2009-10-31 Jurgen Horbach , Walter Kob , Kurt Binder

A theory for the vibrational dynamics in disordered solids [W. Schirmacher, Europhys. Lett. {\bf 73}, 892 (2006)], based on the random spatial variation of the shear modulus, has been applied to determine the wavevector ($k$) dependence of…

Materials Science · Physics 2007-05-23 W. Schirmacher , G. Ruocco , T. Scopigno

We present in this paper a numerical study of the vibrational eigenvectors of a two-dimensional amorphous material, previously deeply studied from the point of view of mechanical properties and vibrational eigen-frequencies [7-10].…

Disordered Systems and Neural Networks · Physics 2011-06-17 F. Léonforte

Amorphous materials exhibit peculiar mechanical and vibrational properties, including non-affine elastic responses and excess vibrational states, i.e., the so-called boson peak. For polymer glasses, these properties are considered to be…

Soft Condensed Matter · Physics 2021-06-01 Naoya Tomoshige , Shota Goto , Hideyuki Mizuno , Tatsuya Mori , Kang Kim , Nobuyuki Matubayasi

We combine a conventional harmonic analysis of vibrations in a one-atomic model glass of soft spheres with a Voronoi-Delaunay geometrical analysis of the structure. ``Structure potentials'' (tetragonality, sphericity or perfectness) are…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. A. Luchnikov , N. N. Medvedev , Yu. I. Naberukhin , H. R. Schober
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