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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 inelastic scattering intensities of glasses and amorphous materials has a maximum at a low frequency, the so called Boson peak. Under applied hydrostatic pressure, $P$, the Boson peak frequency, $\omega_{\rm b}$, is shifted upwards. We…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. L. Gurevich , D. A. Parshin , H. R. Schober

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 hallmark of glasses is an excess of low-frequency, nonphononic vibrations, in addition to phonons. It is associated with the intrinsically nonequilibrium and disordered nature of glasses, and is generically manifested as a THz peak -- the…

Disordered Systems and Neural Networks · Physics 2024-09-02 Avraham Moriel , Edan Lerner , Eran Bouchbinder

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

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

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 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

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

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

We apply a recently developed theory of the nonphononic vibrational density of states (DOS) in glasses to investigate the impact of local frozen-in stresses on the low-temperature specific heat. Using a completely harmonic description we…

Disordered Systems and Neural Networks · Physics 2025-09-08 Walter Schirmacher , Giancarlo Ruocco

We numerically study the evolution of the vibrational density of states $D(\omega)$ of zero-temperature glasses when their kinetic stability is varied over an extremely broad range, ranging from poorly annealed glasses obtained by…

Soft Condensed Matter · Physics 2019-01-08 Lijin Wang , Andrea Ninarello , Pengfei Guan , Ludovic Berthier , Grzegorz Szamel , Elijah Flenner

We summarize the salient features of our theory of non-phononic vibrational excitations in glasses [W. Schirmacher et al., Nature Comm. 15, 3107 (2024)]. Next, we provide further evidence of the non-universality of the $\omega^4$ scaling of…

Disordered Systems and Neural Networks · Physics 2026-05-13 Walter Schirmacher , Matteo Paoluzzi , Felix Cosmin Mocanu , Dmytro Khomenko , Grzegorz Szamel , Francesco Zamponi , Giancarlo Ruocco

The scaling behavior of the so-called boson peak in glass-formers and its relation to the elastic properties of the system remains a source of controversy. Here, the boson peak in a binary reactive mixture is measured by Raman scattering…

Soft Condensed Matter · Physics 2013-08-06 Silvia Corezzi , Silvia Caponi , Flavio Rossi , Daniele Fioretto

The vibrational spectra of solids, both ordered and amorphous, in the low-energy regime, control the thermal and transport properties of materials, from heat capacity to heat conduction, electron-phonon couplings, conventional…

Soft Condensed Matter · Physics 2019-04-17 Matteo Baggioli , Alessio Zaccone

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 boson peak appears in all amorphous solids and is an excess of vibrational states at low frequencies compared to the phonon spectrum of the corresponding crystal. Until recently, the consensus was that it originated from "defects" in…

Materials Science · Physics 2016-12-16 Tobias Brink , Leonie Koch , Karsten Albe

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 normal modes for two widely-used models of glasses were studied at zero temperature. The onset frequencies for the anomalous modes for both systems agree well with predictions of a variational argument, which is…

Soft Condensed Matter · Physics 2007-05-23 Ning Xu , Matthieu Wyart , Andrea J. Liu , Sidney R. Nagel

The anharmonic soft modes studied in recent numerical work in the glass phase of simple liquids have an unstable core, stabilized by the positive restoring forces of the surrounding elastic medium. The present paper formulates an unstable…

Disordered Systems and Neural Networks · Physics 2020-04-02 U. Buchenau
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