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We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $\mathcal{D}(\omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic…

无序系统与神经网络 · 物理学 2021-05-10 Eran Bouchbinder , Edan Lerner , Corrado Rainone , Pierfrancesco Urbani , Francesco Zamponi

The low-temperature properties of glasses present important differences with respect to crystalline matter. In particular, models such as the Debye model of solids, which assume the existence of an underlying regular lattice, predict that…

无序系统与神经网络 · 物理学 2023-01-03 Matteo Baggioli , Rico Milkus , Alessio Zaccone

We study heterogeneities in a binary Lennard-Jones system below the glass transition using molecular dynamics simulations. We identify mobile and immobile particles and measure their distribution of vibrational amplitudes. For temperatures…

无序系统与神经网络 · 物理学 2013-05-29 Katharina Vollmayr-Lee , Annette Zippelius

It is widely accepted that structural glasses and disordered crystals exhibit anomalies in the their thermal, mechanical and acoustic properties as manifestations of the breakdown of the long-wavelength approximation in a disordered…

材料科学 · 物理学 2020-03-24 M. Baggioli , A. Zaccone

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…

软凝聚态物质 · 物理学 2024-06-10 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

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…

软凝聚态物质 · 物理学 2026-05-07 Edan Lerner , Eran Bouchbinder

In this talk I will present a complete theory for the behaviour of large-scale dynamical heterogeneities in glasses. Following the work arXiv:1001.1746 I will show that we can write a (physically motivated) simple stochastic differential…

无序系统与神经网络 · 物理学 2010-09-09 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

Characterizing the glass state remains elusive since its distinction from a liquid state is not obvious. Glasses are liquids whose viscosity has increased so much that they cannot flow. Accordingly there have been many attempts to define a…

统计力学 · 物理学 2015-05-27 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

It was recently shown that different simple models of glass formers with binary interactions define a universality class in terms of the density of states of their quasi-localized low-frequency modes. Explicitly, once the hybridization with…

软凝聚态物质 · 物理学 2020-08-26 Silvia Bonfanti , Roberto Guerra , Chandana Mondal , Itamar Procaccia , Stefano Zapperi

Soft, quasilocalized excitations (QLEs) are known to generically emerge in a broad class of disordered solids, and to govern many facets of the physics of glasses, from wave attenuation to plastic instabilities. In view of this key role of…

软凝聚态物质 · 物理学 2023-03-24 David Richard , Geert Kapteijns , Edan Lerner

We propose a random matrix approach to describe vibrational excitations in disordered systems. The dynamical matrix M is taken in the form M=AA^T where A is some real (not generally symmetric) random matrix. It guaranties that M is a…

无序系统与神经网络 · 物理学 2011-06-22 Y. M. Beltukov , D. A. Parshin

Recent research has made significant progress in understanding the non-phonon vibrational states present in amorphous materials. It has been established that their vibrational density of states follows non-Debye scaling laws. Here, we show…

软凝聚态物质 · 物理学 2025-08-13 Hideyuki Mizuno , Kuniyasu Saitoh , Yusuke Hara , Atsushi Ikeda

At low temperatures, glasses exhibit distinctive properties compared to crystalline solids. A notable example is the phonon echo, a phenomenon that motivated the two-level-system (TLS) model. This model has successfully explained many…

无序系统与神经网络 · 物理学 2026-02-17 Di Zhou

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

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…

无序系统与神经网络 · 物理学 2021-01-05 Luigi Casella , Matteo Baggioli , Tatsuya Mori , Alessio Zaccone

The boson peak (BP), a low-energy excess in the vibrational density of states over the phonon Debye contribution, is usually identified as one of the distinguishing features between ordered crystals and amorphous solid materials. Despite…

软凝聚态物质 · 物理学 2023-08-23 Cunyuan Jiang , Matteo Baggioli , Jack F. Douglas

Recent studies point out far-reaching connections between the topological characteristics of structural glasses and their material properties, paralleling results in quantum physics that highlight the relevance of the nature of the…

无序系统与神经网络 · 物理学 2026-01-21 Zhen Wei Wu , Jean-Louis Barrat , Walter Kob

We explore, by means of inelastic neutron scattering, the extent of changes in dynamic correlations induced by thermal poling of vitreous $SiO_2$. The measured vibrational density of states shows an excess of modes in certain frequency…

无序系统与神经网络 · 物理学 2009-10-31 C. Cabrillo , G. J. Cuello , P. Garcia-Fernandez , F. J. Bermejo , V. Pruneri , F. Samoggia , P. G. Kazansky , S. M. Bennington

The shear modulus of solid $^4$He exhibits an anomalous change of order 10%[1, 2] at low temperatures that is qualitatively similar to the much smaller frequency change in torsional oscillator experiments. We propose that in solid $^4$He…

统计力学 · 物理学 2015-03-13 Jung-Jung Su , Matthias J. Graf , Alexander V. Balatsky

We review a new theory of viscoelasticity of a glass-forming viscous liquid near and below the glass transition. In our model we assume that each point in the material has a specific viscosity, which varies randomly in space according to a…

无序系统与神经网络 · 物理学 2016-04-27 Walter Schirmacher , Giancarlo Ruocco , Valerio Mazzone