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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…

Soft Condensed Matter · Physics 2024-01-05 Surajit Chakraborty , Vishnu V. Krishnan , Kabir Ramola , Smarajit Karmakar

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…

Soft Condensed Matter · Physics 2019-01-08 Lijin Wang , Andrea Ninarello , Pengfei Guan , Ludovic Berthier , Grzegorz Szamel , Elijah Flenner

We investigate the influence of morphology and size on the vibrational properties of disordered clusters of colloidal particles with attractive interactions. From measurements of displacement correlations between particles in each cluster,…

Soft Condensed Matter · Physics 2015-05-27 Peter J. Yunker , Ke Chen , Zexin Zhang , Arjun G. Yodh

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

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

Soft quasilocalized modes (QLMs) are universally featured by structural glasses quenched from a melt, and are supposedly involved in a number of glassy anomalies such as the low temperature scaling of their thermal conductivity and specific…

Soft Condensed Matter · Physics 2020-05-25 Corrado Rainone , Eran Bouchbinder , Edan Lerner

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2015-07-10 M. Schmidt , F. M. Zimmer , S. G. Magalhaes

Glasses exhibit spatially localized vibrations in the low-frequency regime. These localized modes emerge below the boson peak frequency $\omega_\text{BP}$, and their vibrational densities of state follow $g(\omega) \propto \omega^4$…

Soft Condensed Matter · Physics 2022-11-21 Kumpei Shiraishi , Yusuke Hara , Hideyuki Mizuno

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…

To better understand the surprising low-frequency vibrational modes in structural glasses, we study the spectra of a large ensemble of sparse random matrices where disorder is controlled by the distribution of bond weights and network…

Disordered Systems and Neural Networks · Physics 2018-10-31 E M Stanifer , P K Morse , A A Middleton , M L Manning

Amorphous solids or glasses are known to exhibit stretched-exponential decay over broad time intervals in several of their macroscopic observables: intermediate scattering function, dielectric relaxation modulus, time-elastic modulus etc.…

Soft Condensed Matter · Physics 2017-01-19 B. Cui , R. Milkus , A. Zaccone

We study the collective vibrational excitations of crystals under out-of-equilibrium steady conditions that give rise to entropy production. Their excitation spectrum comprises equilibrium-like phonons of thermal origin and additional…

Statistical Mechanics · Physics 2023-07-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Hartmut Löwen

Glasses possess more low-frequency vibrational modes than predicted by Debye theory. These excess modes are crucial for the understanding the low temperature thermal and mechanical properties of glasses, which differ from those of…

Disordered Systems and Neural Networks · Physics 2021-12-22 Lijin Wang , Grzegorz Szamel , Elijah Flenner

We investigate structural and dynamical properties of moderately polydisperse emulsions across an extended range of droplet volume fractions phgr, encompassing fluid and glassy states up to jamming. Combining experiments and simulations, we…

Soft Condensed Matter · Physics 2017-10-09 Chi Zhang , Nicoletta Gnan , Thomas G. Mason , Emanuela Zaccarelli , Frank Scheffold

For several atomistic models of glass formers, at conditions below their glassy dynamics onset temperatures, ${T_\mathrm{o}}$, we use importance sampling of trajectory space to study the structure, statistics and dynamics of excitations…

Statistical Mechanics · Physics 2014-05-08 Aaron S. Keys , Lester O. Hedges , Juan P. Garrahan , Sharon C. Glotzer , David Chandler

Elucidating the nature of the glass transition has been the holy grail of condensed matter physics and statistical mechanics for several decades. A phenomenological aspect that makes glass formation a conceptually formidable problem is that…

Soft Condensed Matter · Physics 2016-08-11 Shreyas Gokhale , K. Hima Nagamanasa , A. K. Sood , Rajesh Ganapathy

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

Marginally stable solids have peculiar physical properties that were discovered and analyzed in the context of the jamming transition. We theoretically investigate the existence of marginal stability in a prototypical model for structural…

Statistical Mechanics · Physics 2017-11-16 Camille Scalliet , Ludovic Berthier , Francesco Zamponi

We study non-uniform states and possible glassiness triggered by a competition between distinct local orders in disorder free systems. Both in Ginzburg-Landau theories and in simple field theories, such inhomogeneous states arise from…

Strongly Correlated Electrons · Physics 2008-10-15 Zohar Nussinov , Ilya Vekhter , Alexander V. Balatsky

We address the question of geometrical as well as energetic properties of local excitations in mean field Ising spin glasses. We study analytically the Random Energy Model and numerically a dilute mean field model, first on tree-like…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Krzakala , G. Parisi