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The low-temperature properties of amorphous solids are widely believed to be controlled by low-frequency quasi-localized modes. What governs their spatial structure and density is however debated. We study these questions numerically in…

无序系统与神经网络 · 物理学 2019-07-17 Masanari Shimada , Hideyuki Mizuno , Matthieu Wyart , Atsushi Ikeda

It has been established that the low frequency quasi-localized modes of amorphous solids at zero temperature exhibit universal density of states, depending on the frequencies as $D(\omega) \sim \omega^4$. It remains an open question whether…

统计力学 · 物理学 2021-03-03 Prasenjit Das , Itamar Procaccia

The theoretical understanding of the low-frequency modes in amorphous solids at finite temperature is still incomplete. The study of the relevant modes is obscured by the dressing of inter-particle forces by collision-induced momentum…

无序系统与神经网络 · 物理学 2022-05-04 Roberto Guerra , Silvia Bonfanti , Itamar Procaccia , Stefano Zapperi

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…

软凝聚态物质 · 物理学 2019-01-08 Lijin Wang , Andrea Ninarello , Pengfei Guan , Ludovic Berthier , Grzegorz Szamel , Elijah Flenner

We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\theta}, where the exponent {\theta} is…

软凝聚态物质 · 物理学 2014-11-19 Jie Lin , Alaa Saade , Edan Lerner , Alberto Rosso , Matthieu Wyart

Randomly crosslinked macromolecules undergo a liquid-to-amorphous solid phase transition at a critical crosslink concentration. This transition has two main signatures: the random localization of a fraction of the monomers and the emergence…

无序系统与神经网络 · 物理学 2009-10-31 Horacio E. Castillo , Paul M. Goldbart

Amorphous solids are dynamically inhomogeneous due to in lack of translational symmetry and hence exhibit vibrational properties different from crystalline solids with anomalous low frequency vibrational density of states (VDOS) and related…

软凝聚态物质 · 物理学 2025-08-01 Cunyuan Jiang

Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This…

软凝聚态物质 · 物理学 2016-06-22 Le Yan , Eric DeGiuli , Matthieu Wyart

Low frequency quasi-localized modes of amorphous glasses appear to exhibit universal density of states, depending on the frequencies as $D(\omega) \sim \omega^4$. To date various models of glass formers with short range binary interaction,…

统计力学 · 物理学 2020-07-15 Prasenjit Das , H. George E. Hentschel , Edan Lerner , Itamar Procaccia

We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

无序系统与神经网络 · 物理学 2016-08-14 Anaël Lemaître , Christiane Caroli

Glasses have a large excess of low-frequency vibrational modes in comparison with crystalline solids. We show that such a feature is a necessary consequence of the geometry generic to weakly connected solids. In particular, we analyze the…

软凝聚态物质 · 物理学 2009-11-10 Matthieu Wyart , Sidney R. Nagel , T. A. Witten

We show through simulations of amorphous solids prepared in open boundary conditions that they possess significantly fewer low-frequency vibrational modes compared to their periodic boundary counterparts. Specifically, using measurements of…

软凝聚态物质 · 物理学 2024-01-05 Surajit Chakraborty , Vishnu V. Krishnan , Kabir Ramola , Smarajit Karmakar

Amorphous solids exhibit an excess of low-frequency vibrational modes beyond the Debye prediction, contributing to their anomalous mechanical and thermal properties. Although a $\omega^4$ power-law scaling is often proposed for the…

软凝聚态物质 · 物理学 2024-12-10 Surajit Chakraborty , Roshan Maharana , Smarajit Karmakar , Kabir Ramola

Key aspects of glasses are controlled by the presence of excitations in which a group of particles can rearrange. Surprisingly, recent observations indicate that their density is dramatically reduced and their size decreases as the…

软凝聚态物质 · 物理学 2021-01-04 Wencheng Ji , Tom W. J. de Geus , Marko Popović , Elisabeth Agoritsas , Matthieu Wyart

The vibrational density of states $D(\omega)$ of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye's law, $D(\omega) \propto…

软凝聚态物质 · 物理学 2021-12-01 Shivam Mahajan , Massimo Pica Ciamarra

A theory of vibrational excitations based on power-law spatial correlations in the elastic constants (or equivalently in the internal stress) is derived, in order to determine the vibrational density of states $D(\omega)$ of disordered…

无序系统与神经网络 · 物理学 2020-11-30 Bingyu Cui , Alessio Zaccone

We report the first measurements of the effect of pressure on vibrational modes in emulsions, which serve as a model for soft frictionless spheres at zero temperature. As a function of the applied pressure, we find that the density of…

软凝聚态物质 · 物理学 2016-11-15 Jie Lin , Ivane Jorjadze , Lea-Laetitia Pontani , Matthieu Wyart , Jasna Brujic

We build a mean-field model of plasticity of amorphous solids, based on the dynamics of an ensemble shear transformation zones, interacting via intrinsic dynamical noise generated by the zone flips themselves. We compare the quasi-static,…

软凝聚态物质 · 物理学 2016-08-16 Anaël Lemaître , Christiane Caroli

We analyze low-frequency vibrational modes in a two-dimensional, zero-temperature, quasistatically sheared model glass to identify a population of structural "soft spots" where particle rearrangements are initiated. The population of spots…

软凝聚态物质 · 物理学 2015-05-20 M. Lisa Manning , Andrea J. Liu

While soft quasilocalized vibrational modes are known to populate the low-frequency spectrum of glassy solids, their contribution to thermal properties is still not fully elucidated. We numerically show that, despite their spatially…

无序系统与神经网络 · 物理学 2022-06-14 Xing Xiang , Sylvain Patinet , Sebastian Volz , Yanguang Zhou
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