Mechanical disorder of sticky-sphere glasses. I. Effect of attractive interactions

González-López, Karina; Mahajan, Shivam; Zheng, Yifeng; Ciamarra, Massimo Pica; Lerner, Edan

doi:10.1103/physreve.103.022605

Cited by 37 publications

(43 citation statements)

References 117 publications

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“…〈x 2 * 〉 is the average of the x i dependent part of the Hessian M i j = J i j + δ i j (κ i + 1 2 Ax 2 i ) at minima of H, and quantifies the average interaction-induced force that the oscillators generate, as will be further discussed below. Finally, A g (h, J, κ 0 ) is a non-universal quantity that -in structural glasses -encodes information about the nonequilibrium history of the material, having fundamental implications for its physical properties [17,37,38].…”

Section: The Low-frequency Density Of Statesmentioning

confidence: 99%

Mean-field model of interacting quasilocalized excitations in glasses

et al. 2021

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Structural glasses feature quasilocalized excitations whose frequencies \omegaω follow a universal density of states {D}(\omega)\!\sim\!\omega^4D(ω)∼ω4. Yet, the underlying physics behind this universality is not fully understood. Here we study a mean-field model of quasilocalized excitations in glasses, viewed as groups of particles embedded inside an elastic medium and described collectively as anharmonic oscillators. The oscillators, whose harmonic stiffness is taken from a rather featureless probability distribution (of upper cutoff \kappa_0κ0) in the absence of interactions, interact among themselves through random couplings (characterized by a strength JJ) and with the surrounding elastic medium (an interaction characterized by a constant force hh). We first show that the model gives rise to a gapless density of states {D}(\omega)\!=\!A_{g}\,\omega^4D(ω)=Agω4 for a broad range of model parameters, expressed in terms of the strength of the oscillators’ stabilizing anharmonicity, which plays a decisive role in the model. Then — using scaling theory and numerical simulations — we provide a complete understanding of the non-universal prefactor A_{g}(h,J,\kappa_0)Ag(h,J,κ0), of the oscillators’ interaction-induced mean square displacement and of an emerging characteristic frequency, all in terms of properly identified dimensionless quantities. In particular, we show that A_{g}(h,J,\kappa_0)Ag(h,J,κ0) is a non-monotonic function of JJ for a fixed hh, varying predominantly exponentially with -(\kappa_0 h^{2/3}\!/J^2)−(κ0h2/3/J2) in the weak interactions (small JJ) regime — reminiscent of recent observations in computer glasses — and predominantly decays as a power-law for larger JJ, in a regime where hh plays no role. We discuss the physical interpretation of the model and its possible relations to available observations in structural glasses, along with delineating some future research directions.

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Section: The Low-frequency Density Of Statesmentioning

confidence: 99%

Mean-field model of interacting quasilocalized excitations in glasses

et al. 2021

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“…The sticky hard sphere model is the simplest model with both repulsive and attractive interactions but with rich dynamical behavior. In the last 20 years, many simulation 35–46 and experimental 47–56 studies have been performed for this model. It is widely accepted that there exists a complex reentrant dynamics when decreasing the temperature of the system at certain fixed values of the packing fraction and potential well width.…”

Section: Introductionmentioning

confidence: 99%

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Luo

Janssen

2021

Soft Matter

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“…While we have observed that the elastic length scale grows as a system is better annealed, being correlated to the size of the grain boundaries, these previous studies have conversely found it to decrease [25,35]. Recent results [25,36,37] have also shown that, in attractive systems, the elastic length scale is affected by the range of the attractive interaction. Hence, depending on the features of the underlying energy landscape, annealing might increase or decrease the elastic length scale above which isotropic linear elasticity sets it.…”

Section: Discussionmentioning

confidence: 40%

Emergence of linear isotropic elasticity in amorphous and polycrystalline materials

Mahajan,

Chattoraj,

Ciamarra

2021

Preprint

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We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids, via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale ξE, so that central limit theorem dictates the emergence of continuum linear isotropic elasticity on increasing the specimen size. The stiffness matrix of systems of finite size L > ξE is obtained adding to that predicted by linear isotropic elasticity a random one of spectral norm (L/ξE) −3/2 , in three spatial dimensions. We further demonstrate that the elastic length scale corresponds to that of structural correlations, which in polycrystals reflect the typical size of the grain boundaries and length scales characterizing correlations in the stress field. We finally demonstrate that the elastic length scale affects the decay of the anisotropic long-ranged correlations of locally defined shear modulus and shear stress.

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Mechanical disorder of sticky-sphere glasses. I. Effect of attractive interactions

Abstract: Mechanical disorder of sticky-sphere glasses. I.

Cited by 37 publications

References 117 publications

Mean-field model of interacting quasilocalized excitations in glasses

Mean-field model of interacting quasilocalized excitations in glasses

Glassy dynamics of sticky hard spheres beyond the mode-coupling regime

Emergence of linear isotropic elasticity in amorphous and polycrystalline materials

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