Spatial structure of quasilocalized vibrations in nearly jammed amorphous solids

Shimada, Munekatsu; Mizuno, Hideyuki; Wyart, Matthieu; Ikeda, Atsushi

doi:10.1103/physreve.98.060901

Cited by 92 publications

(146 citation statements)

References 55 publications

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“…We mention a few of them here; first, the Boltzmann-like law of the number of QLMs may play a major role in theories of the relaxation, flow, and deformation of glasses and may support some existing approaches. Second, together with other available observations (38,45,80), our results may suggest that the boson-peak frequency could be robustly probed by pinching glassy samples, instead of the more involved analysis required otherwise (9,38). Finally, the variation of the energy scale proportional to ω 2 g with annealing temperature appears to match very well the variation of activation barriers required to rationalize fragility measurements in laboratory glasses (compare Fig.…”

Section: Discussionsupporting

confidence: 80%

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Pinching a glass reveals key properties of its soft spots

Rainone

Bouchbinder

Lerner

2020

Proc. Natl. Acad. Sci. U.S.A.

104

183

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It is now well established that glasses feature quasilocalized nonphononic excitations—coined “soft spots”—, which follow a universal ω4 density of states in the limit of low frequencies ω. All glass-specific properties, such as the dependence on the preparation protocol or composition, are encapsulated in the nonuniversal prefactor of the universal ω4 law. The prefactor, however, is a composite quantity that incorporates information both about the number of quasilocalized nonphononic excitations and their characteristic stiffness, in an apparently inseparable manner. We show that by pinching a glass—i.e., by probing its response to force dipoles—one can disentangle and independently extract these two fundamental pieces of physical information. This analysis reveals that the number of quasilocalized nonphononic excitations follows a Boltzmann-like law in terms of the parent temperature from which the glass is quenched. The latter, sometimes termed the fictive (or effective) temperature, plays important roles in nonequilibrium thermodynamic approaches to the relaxation, flow, and deformation of glasses. The analysis also shows that the characteristic stiffness of quasilocalized nonphononic excitations can be related to their characteristic size, a long sought-for length scale. These results show that important physical information, which is relevant for various key questions in glass physics, can be obtained through pinching a glass.

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Section: Discussionsupporting

confidence: 80%

“…The same length was shown in ref. 80 to characterize the core size of QLMs near the unjamming point of harmonic-sphere packings. In light of the results shown in Fig.…”

Section: Physicsmentioning

confidence: 99%

Pinching a glass reveals key properties of its soft spots

Rainone

Bouchbinder

Lerner

2020

Proc. Natl. Acad. Sci. U.S.A.

104

183

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“…It would be interesting to analyze separately the spatial correlation of localized and delocalized modes using for instance the gyration radius [37] or the methods of Ref. [57]. Early simulations [58] found a correlation between e 2 i and the short-time dynamical heterogeneity of a Lennard-Jones mixture.…”

Section: Resultsmentioning

confidence: 99%

A localization transition underlies the mode-coupling crossover of glasses

2019

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We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a localization transition in real space close to the mode-coupling crossover temperature determined from the dynamics. The concentration of localized unstable modes found at low temperature is a non-universal, finite dimensional feature not captured by mean-field glass theory. Our analysis reconciles, and considerably expands, previous conflicting numerical results and provides a characteristic temperature for glassy dynamics that unambiguously locates the mode-coupling crossover.

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“…A promising line of research is the discovery that localized defects may themselves possess some universal properties [101][102][103] . The link between localized defects found in dense liquids far from jamming to collective excitations that proliferate close to jamming in marginally stable systems also remains to be understood 104 .…”

Section: Gardner Physics In Soft Spheresmentioning

confidence: 99%

Gardner physics in amorphous solids and beyond

Berthier

Biroli

Charbonneau

et al. 2019

The Journal of Chemical Physics

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One of the most remarkable predictions to emerge out of the exact infinite-dimensional solution of the glass problem is the Gardner transition. Although this transition was first theoretically proposed a generation ago for certain mean-field spin glass models, its materials relevance was only realized when a systematic effort to relate glass formation and jamming was undertaken. A number of nontrivial physical signatures associated to the Gardner transition have since been considered in various areas, from models of structural glasses to constraint satisfaction problems. This Perspective surveys these recent advances and discusses the novel research opportunities that arise from them. a arXiv:1902.10494v2 [cond-mat.stat-mech]

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Spatial structure of quasilocalized vibrations in nearly jammed amorphous solids

Cited by 92 publications

References 55 publications

Pinching a glass reveals key properties of its soft spots

Pinching a glass reveals key properties of its soft spots

A localization transition underlies the mode-coupling crossover of glasses

Gardner physics in amorphous solids and beyond

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