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Structural glasses formed by quenching a melt possess a population of soft quasilocalized excitations --- often called `soft spots' --- that are believed to play a key role in various thermodynamic, transport and mechanical phenomena. Under…

Soft Condensed Matter · Physics 2020-04-08 Geert Kapteijns , David Richard , Edan Lerner

The phenomenology of glass-forming liquids is often described in terms of their underlying, high-dimensional potential energy surface. In particular, the statistics of stationary points sampled as a function of temperature provides useful…

Statistical Mechanics · Physics 2021-01-06 Masanari Shimada , Daniele Coslovich , Hideyuki Mizuno , Atsushi Ikeda

The origin of several emergent mechanical and dynamical properties of structural glasses is often attributed to populations of localized structural instabilities, coined quasilocalized modes (QLMs). Under a restricted set of circumstances,…

Disordered Systems and Neural Networks · Physics 2021-10-27 Julia A Giannini , David Richard , M. Lisa Manning , Edan Lerner

Hierarchical dynamics in glass-forming systems span multiple timescales, from fast vibrations to slow structural rearrangements, appearing in both supercooled fluids and glassy states. Understanding how these diverse processes interact…

Soft Condensed Matter · Physics 2025-05-28 Wensi Sun , Yanshuang Chen , Wencheng Ji , Yi Zhou , Hua Tong , Ke Chen , Xiaosong Chen , Hajime Tanaka , Peng Tan

Glassy solids exhibit a wide variety of generic thermomechanical properties, ranging from universal anomalous specific heat at cryogenic temperatures to nonlinear plastic yielding and failure under external driving forces, which…

Soft Condensed Matter · Physics 2021-12-14 Edan Lerner , Eran Bouchbinder

It has been recently shown [E. Lerner, G. D\"uring, and E. Bouchbinder, Phys. Rev. Lett. 117, 035501 (2016)] that the non-phononic vibrational modes of structural glasses at low-frequencies $\omega$ are quasi-localized and follow a…

Soft Condensed Matter · Physics 2018-04-03 Edan Lerner , Eran Bouchbinder

Identifying heterogeneous structures in glasses --- such as localized soft spots --- and understanding structure-dynamics relations in these systems remain major scientific challenges. Here we derive an exact expression for the local…

Soft Condensed Matter · Physics 2017-08-16 Jacques Zylberg , Edan Lerner , Yohai Bar-Sinai , Eran Bouchbinder

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

Disordered Systems and Neural Networks · Physics 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

It is now well established that structural glasses possess disorder- and frustration-induced soft quasilocalized excitations, which play key roles in various glassy phenomena. Recent work has established that in model glass-formers in three…

Soft Condensed Matter · Physics 2018-08-08 Geert Kapteijns , Eran Bouchbinder , Edan Lerner

Amorphous solids are viscoelastic. They dissipate energy when deformed at finite rate and finite temperature. We here use analytic theory and molecular simulations to demonstrate that linear viscoelastic dissipation can be directly related…

Soft Condensed Matter · Physics 2024-02-23 Jan Grießer , Lars Pastewka

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…

Disordered Systems and Neural Networks · Physics 2022-06-14 Xing Xiang , Sylvain Patinet , Sebastian Volz , Yanguang Zhou

Glass is an under-cooled liquid that very slowly relaxes towards the equilibrium crystalline state. Its energy balance is ill understood, since it is widely believed that the glassy state cannot be described thermodynamically. However, the…

Statistical Mechanics · Physics 2009-11-07 Theo M. Nieuwenhuizen

Ultra-stable glasses prepared from the physical vapor deposition of organic molecules present a very low density of two-level states, the kind of glass defects that determine their peculiar low temperature thermal properties. Numerical…

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

Disordered Systems and Neural Networks · Physics 2007-08-08 Carolina Brito , Matthieu Wyart

Glasses are traditionally characterized by their rugged landscape of disordered low-energy states and their slow relaxation towards thermodynamic equilibrium. Far from equilibrium, dynamical forms of glassy behavior with anomalous algebraic…

Disordered Systems and Neural Networks · Physics 2026-04-17 Zachary G. Nicolaou , Hangjun Cho , Yuanzhao Zhang , J. Nathan Kutz , Steven L. Brunton

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

Condensed Matter · Physics 2007-05-23 Leticia F. Cugliandolo

We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally…

Soft Condensed Matter · Physics 2008-05-09 Carolina Brito , Matthieu Wyart

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 quantum excitations in glasses have long presented a set of puzzles for condensed matter physicists. A common view is that they are largely disordered analogs of elementary excitations in crystals, supplemented by two level systems…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vassiliy Lubchenko , Peter G. Wolynes
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