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All solids, whether crystalline or disordered, support elastic wave propagation with a linear dispersion relation in the long-wavelength limit. These waves, corresponding to low-frequency phonons, feature a vibrational density of states…

Soft Condensed Matter · Physics 2026-05-07 Edan Lerner , Eran Bouchbinder

The boson peak (BP), a low-energy excess in the vibrational density of states over the Debye contribution, is often identified as a characteristic of amorphous solid materials. Despite decades of efforts, its microscopic origin still…

Soft Condensed Matter · Physics 2024-06-10 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

We propose that the boson peak originates from the (quasi-) localized vibrational modes associated with long-lived locally favored structures, which are intrinsic to a liquid state and are randomly distributed in a sea of normal-liquid…

Materials Science · Physics 2009-11-07 Hajime Tanaka

We consider a system of coupled classical harmonic oscillators with spatially fluctuating nearest-neighbor force constants on a simple cubic lattice. The model is solved both by numerically diagonalizing the Hamiltonian and by applying the…

Condensed Matter · Physics 2009-10-31 W. Schirmacher , G Diezemann , C. Ganter

The boson peak is an excess in the phonon density of states relative to the Debye Model, which occurs at frequencies below the Debye limit. It is present in most amorphous materials and, as was recently shown, can sometimes be found also in…

A detailed pressure-dependence study of the low-energy excitations of glassy As2S3 is reported over a wide pressure range, up to 10 GPa. The spectral features of Boson peak are analysed as a function of pressure. Pressure effects on the…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. S. Andrikopoulos , D. Christofilos , G. A. Kourouklis , S. N. Yannopoulos

The present article is concerned with the use of approximations in the calculation of the many-body density of states (MBDS) of a system with total energy E, composed by N bosons. In the mean-field framework, an integral expression for…

Statistical Mechanics · Physics 2014-11-17 Alexandre Dias Ribeiro

Contrary to previous studies of boson peak, we analyze the density of states and specific heat contribution of dispersion forces in an amorphous solid of nano-scales ($\sim 3 nm$). Our analysis indicates a universal semi-circle form of the…

Statistical Mechanics · Physics 2021-06-23 Pragya Shukla

We have studied numerically the evolution of the zero temperature vibrational spectra of single-component solids with pressure using various model potentials with power law (type A) or exponential (type B) repulsive part. Based on these…

Materials Science · Physics 2011-09-06 Divya Srivastava , Subir K. Sarkar

The dynamics of a soft sphere model glass, studied by molecular dynamics, is investigated. The vibrational density of states divided by $\omega^2$ shows a pronounced boson peak. Its shape is in agreement with the universal form derived for…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. R. Schober

We present a numerical simulation study of the density-dependence (rho = 2.2 - 4.0 g/cm^3) of the high-energy collective dynamics in vitreous silica at mesoscopic wavevectors (Q = 1 - 18 nm^-1). The density-dependence of the longitudinal…

Disordered Systems and Neural Networks · Physics 2007-05-23 O. Pilla , S. Caponi , A. Fontana , M. Montagna , F. Rossi , G. Viliani , L. Angelani , G. Ruocco , G. Monaco , F. Sette

The disordered Bose Hubbard model is studied numerically within the Bogoliubov approximation. First, the spatially varying condensate wavefunction in the presence of disorder is found by solving a nonlinear Schrodinger equation. Using the…

Condensed Matter · Physics 2009-10-22 K. G. Singh , D. S. Rokhsar

We perform extensive molecular dynamics simulations of the TIP4P/2005 model of water to investigate the origin of the Boson peak reported in experiments on supercooled water in nanoconfined pores, and in hydration water around proteins. We…

Soft Condensed Matter · Physics 2013-05-21 Pradeep Kumar , K. Thor Wikfeldt , Daniel Schlesinger , Lars G. M. Pettersson , H. E. Stanley

Using generalized hydrodynamics, we study the thermal behavior of dipole-compression collective oscillations in a harmonically trapped one-dimensional (1D) Bose gas across the crossover from weak to strong repulsive contact interactions. A…

Quantum Gases · Physics 2026-03-25 Caroline Mauron , Karen V. Kheruntsyan , Giulia De Rosi

By using a sum rule approach we investigate the transition between the hydrodynamic and the collisionless regime of the collective modes in a 1D harmonically trapped Bose gas. Both the weakly interacting gas and the Tonks-Girardeau limits…

Quantum Gases · Physics 2016-12-08 Giulia De Rosi , Sandro Stringari

We develop a first-principles theory for the vibrational density of states (VDOS) and thermal properties of network materials built on stationary correlated disordered point configurations. For scalar (mass--spring) models whose dynamical…

Soft Condensed Matter · Physics 2025-10-30 Yang Jiao

Low-frequency vibrational harmonic modes of glasses are frequently used to understand their universal low-temperature properties. One well studied feature is the excess low-frequency density of states over the Debye model prediction. Here…

Disordered Systems and Neural Networks · Physics 2023-04-05 Lijin Wang , Grzegorz Szamel , Elijah Flenner

In polydisperse systems, describing the structure and any structural order parameter (SOP) is not trivial as it varies with the number of species we use to describe the system, M . Depending on the degree of polydispersity, there is an…

Soft Condensed Matter · Physics 2023-07-26 Palak Patel , Mohit Sharma , Sarika Maitra Bhattacharyya

Dielectric spectroscopy measurements over a broad range of temperature and pressure were carried out on poly(oxybutylene) (POB), a type-A polymer (dielectrically-active normal mode). There are three dynamic processes appearing at lower…

Soft Condensed Matter · Physics 2009-11-10 R. Casalini , C. M. Roland

We derive the equation of motion for the velocity fluctuations of a 2D deformed trapped Bose gas above the critical temperature in the hydrodynamical regime. From this equation, we calculate the eigenfrequencies for a few low-lying…

Condensed Matter · Physics 2009-10-31 Tarun Kanti Ghosh