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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 introduce a family of local models of dynamics based on ``word problems'' from computer science and group theory, for which we can place rigorous lower bounds on relaxation timescales. These models can be regarded either as random…

Quantum Physics · Physics 2024-08-05 Shankar Balasubramanian , Sarang Gopalakrishnan , Alexey Khudorozhkov , Ethan Lake

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 topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

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…

Disordered Systems and Neural Networks · Physics 2020-11-30 Bingyu Cui , Alessio Zaccone

Low-energy excitations play a key role in all condensed-matter systems, yet there is limited understanding of their nature in glasses, where they correspond to local rearrangements of groups of particles. Here we introduce an algorithm to…

Soft Condensed Matter · Physics 2024-08-27 Wencheng Ji , Massimo Pica Ciamarra , 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

By using fluid-kinetic simulations of confined and concentrated emulsion droplets, we investigate the nature of space non-homogeneity in soft-glassy dynamics and provide quantitative measurements of the statistical features of plastic…

Soft Condensed Matter · Physics 2014-02-19 R. Benzi , M. Sbragaglia , P. Perlekar , M. Bernaschi , S. Succi , F. Toschi

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of…

Condensed Matter · Physics 2007-05-23 A. Vazquez , O. Sotolongo-Costa

Large scale molecular dynamics simulations are performed to study the steady state yielding dynamics of a well established simple glass. In contrast to the supercooled state, where the shear stress, $\sigma$, tends to zero at vanishing…

Soft Condensed Matter · Physics 2009-11-11 Fathollah Varnik , Oliver Henrich

Theoretical analyses and experiments have been carried out to investigate fracture behavior of glassy polymers. Our birefringence measurements quantify the local stress buildup at cut tip during different stages of drawing. Based on…

Soft Condensed Matter · Physics 2022-12-02 Travis Smith , Chaitanya Gupta , Caleb Carr , Shi-Qing Wang

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We study the solid-to-liquid transition in a two-dimensional fully periodic soft-glassy model with an imposed spatially heterogeneous stress. The model we consider consists of droplets of a dispersed phase jammed together in a continuous…

Soft Condensed Matter · Physics 2018-06-06 Matteo Lulli , Roberto Benzi , Mauro Sbragaglia

Using extensive molecular dynamics simulations, we investigate the slowing down of dynamics in a 3D system of ring polymers by varying the ambient pressure and the stiffness of the rings. Our study demonstrates that the stiffness of the…

Soft Condensed Matter · Physics 2022-03-07 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

The evolution of porous structure and mechanical properties of binary glasses under tensile loading were examined using molecular dynamics simulations. We consider vitreous systems obtained in the process of phase separation after a rapid…

Soft Condensed Matter · Physics 2018-07-19 Nikolai V. Priezjev , Maxim A. Makeev

We study the low-temperature phases of interacting bosons on a two-dimensional quasicrystalline lattice. By means of numerically exact Path Integral Monte Carlo simulations, we show that for sufficiently weak interactions the system is a…

Disordered Systems and Neural Networks · Physics 2023-10-31 Matteo Ciardi , Adriano Angelone , Fabio Mezzacapo , Fabio Cinti

We study a class of homogeneous finite-dimensional Ising models which were recently shown to exhibit glassy properties. Monte Carlo simulations of a particular three-dimensional model in this class show that the glassy phase obtained under…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , D. Johnston

The similarity in atomic structure between liquids and glasses has stimulated a long-standing hypothesis that the nature of glasses may be more fluid like, rather than an apparent solid. In principle, the nature of glasses can be…

Disordered Systems and Neural Networks · Physics 2022-02-03 Shuangxi Song , Fan Zhu , Mingwei Chen

We revisit the concept of marginal stability in glasses, and determine its range of applicability in the context of avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudo-gap in the…

Statistical Mechanics · Physics 2015-01-06 Markus Müller , Matthieu Wyart
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