Strain fluctuations and elastic moduli in disordered solids

Sussman, Daniel M.; Schoenholz, Samuel S.; Xu, Yun; Still, Tim; Yodh, Arjun G.; Liu, Andrea J.

doi:10.1103/physreve.92.022307

Cited by 7 publications

(3 citation statements)

References 28 publications

(70 reference statements)

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“…In driven amorphous systems at finite temperatures, nonaffine rearrangements of atoms arise due to both external stresses and thermal fluctuations [29]. The normalized probability distribution function of nonaffine displacements is shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

Nonaffine rearrangements of atoms in deformed and quiescent binary glasses

Priezjev

2016

Phys. Rev. E

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The influence of periodic shear deformation on nonaffine atomic displacements in an amorphous solid is examined via molecular dynamics simulations. We study the three-dimensional Kob-Andersen binary mixture model at a finite temperature. It is found that when the material is periodically strained, most of the atoms undergo repetitive nonaffine displacements with amplitudes that are broadly distributed. We show that particles with large amplitudes of nonaffine displacements are organized into compact clusters. With increasing strain amplitude, spatial correlations of nonaffine displacements become increasingly long-ranged, although they remain present even in a quiescent system due to thermal fluctuations.

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Section: Resultsmentioning

confidence: 99%

Nonaffine rearrangements of atoms in deformed and quiescent binary glasses

Priezjev

2016

Phys. Rev. E

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“…To identify microscopic details, a number of experiments have been performed using colloids 7 , 8 , 13 , 14 and granular particles 10 , 15 to analyze the vibrations of amorphous solids at the single-particle level. However, difficulties can arise when applying the covariance-matrix method 16 , and contact-level stress information is largely missing. Second, some studies have generated controversial results.…”

Section: Introductionmentioning

confidence: 99%

Experimental studies of vibrational modes in a two-dimensional amorphous solid

et al. 2017

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The boson peak, which represents an excess of vibrational states compared to Debye’s prediction at low frequencies, has been studied extensively, and yet, its nature remains controversial. In this study, we focus on understanding the nature of the boson peak based on the spatial heterogeneity of modulus fluctuations using a simple model system of a highly jammed two-dimensional granular material. Despite the simplicity of our system, we find that the boson peak in our two-dimensional system shows a shape very similar to that of three-dimensional molecular glasses when approaching their boson peak frequencies. Our finding indicates a strong connection between the boson peak and the spatial heterogeneity of shear modulus fluctuations.

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“…Hence, measuring level distance in molecular glasses is extremely difficult. Alternatively, one may turn to experiments with colloids, however, there difficulties may arise with the covariance matrix method 55 .…”

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confidence: 99%

Level statistics and Anderson delocalization in two-dimensional granular materials

Zhang,

Wang,

Zheng

et al. 2020

Preprint

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Contrary to the theoretical predictions that all waves in two-dimensional disordered materials are localized, Anderson localization is observed only for sufficiently high frequencies in an isotropically jammed twodimensional disordered granular packing of photoelastic disks. More specifically, we have performed an experiment in analyzing the level statistics of normal mode vibrations. We observe delocalized modes in the low-frequency boson-peak regime and localized modes in the high frequency regime with the crossover frequency just below the Debye frequency. We find that the level-distance distribution obeys Gaussian-Orthogonal-Ensemble (GOE) statistics, i.e. Wigner-Dyson distribution, in the boson-peak regime, whereas those in the high-frequency regime Poisson statistics is observed. The scenario is found to coincide with that of harmonic vibrational excitations in three-dimensional disordered solids.

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Strain fluctuations and elastic moduli in disordered solids

Cited by 7 publications

References 28 publications

Nonaffine rearrangements of atoms in deformed and quiescent binary glasses

Nonaffine rearrangements of atoms in deformed and quiescent binary glasses

Experimental studies of vibrational modes in a two-dimensional amorphous solid

Level statistics and Anderson delocalization in two-dimensional granular materials

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