Anomalous phonon scattering and elastic correlations in amorphous solids

Gelin, Simon; Tanaka, Hajime; Lemaı̂tre, Anaël

doi:10.1038/nmat4736

Cited by 128 publications

(192 citation statements)

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“…The thermal conductivity of a single polymer chain, in which the elastic disorder ( 2 ) between intrachain covalent and interchain van der Waals bonds is absent, was calculated to be as large as few hundreds of watts per meter per kelvin ( 3 ). Ultradrawn crystalline nanofibers with aligned polymer chains were measured to have κ of more than 100 W m −1 K −1 in the alignment direction ( 4 ).…”

Section: Introductionmentioning

confidence: 99%

High thermal conductivity in electrostatically engineered amorphous polymers

et al. 2017

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Section: Introductionmentioning

confidence: 99%

High thermal conductivity in electrostatically engineered amorphous polymers

et al. 2017

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“…In all cases we found excellent agreement between our theoretical prediction and the numerical data, establishing the universal nature of the theory. Of particular interest is the robustness of our scaling theory to the presence of self-generated disorder and frustration-induced internal stresses in structural glasses, which are known to affect many phonon-related glassy phenomena [32,35]. The derived broadening of phonon band widths with increasing frequency gives rise to the identification of a crossover frequency L 2 2…”

Section: Summary and Discussionmentioning

confidence: 99%

Universal disorder-induced broadening of phonon bands: from disordered lattices to glasses

Bouchbinder

Lerner

2018

New J. Phys.

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The translational symmetry of solids, either ordered or disordered, gives rise to the existence of lowfrequency phonons. In ordered systems, either crystalline solids or isotropic homogeneous continua, some phonons characterized by different wavevectors are degenerate, i.e.they share the exact same frequency ω; in finite-size systems, phonons form a discrete set of bands with n q (ω)-fold degeneracy. Here we focus on understanding how this degeneracy is lifted in the presence of disorder, and its physical implications. Using standard degenerate perturbation theory and simple statistical considerations, we predict the dependence of the disorder-induced frequency width of phonon bands to be n N q w s w D~, where σ is the strength of disorder and N is the total number of particles. This theoretical prediction is supported by extensive numerical calculations for disordered lattices-characterized by topological, mass, stiffness and positional disorder-and for computer glasses, where disorder is self-generated, thus establishing its universal nature. The predicted scaling of phonon band widths leads to the identification of a crossover frequencydimensions, where the disorder-induced width of phonon bands becomes comparable to the frequency gap between neighboring bands. Consequently, phonons continuously cover the frequency range ω>ω † , where the notion of discrete phonon bands becomes ill-defined. Two basic applications of the theory are presented; first, we show that the phonon scattering lifetime is proportional to (Δω) −1 for ω<ω † . Second, the theory is applied to the basic physics of glasses, allowing us to determine the range of frequencies in which the recently established universal density of states of non-phononic excitations can be directly probed for different system sizes.

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“…in agreement with the Rayleigh scattering law. Recently, numerical studies have shown that long-range power-law correlations in elastic constant may produce a logarithmic enhancement to this dependence [104]. This effect has been theoretically predicted by extending FE theory to the case of long-range power-law correlations of the elastic constants [105].…”

Section: Glasses Below Tgmentioning

confidence: 99%

Relaxation and vibrational properties in metal alloys and other disordered systems

Zaccone

2020

J. Phys.: Condens. Matter

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The relaxation dynamics and the vibrational spectra of amorphous solids, such as metal alloys, have been intensely investigated as well separated topics in the past. The aim of this review is to summarize recent results in both these areas in an attempt to establish, or unveil, deeper connections between the two phenomena of relaxation and vibration. Theoretical progress in the area of slow relaxation dynamics of liquid and glassy systems and in the area of vibrational spectra of glasses and liquids is reviewed. After laying down a generic modelling framework to connect vibration and relaxation, the physics of metal alloys is considered where the emergence of power-law exponents has been identified both in the vibrational density of states (VDOS) as well as in density correlations. Also, theoretical frameworks which connect the VDOS to the relaxation behaviour and mechanical viscoelastic response in metallic glasses are reviewed. The same generic interpretative framework is then applied to the case of molecular glass formers where the emergence of stretched-exponential relaxation in dielectric relaxation can be put in quantitative relation with the VDOS by means of memory-function approaches. Further connections between relaxation and vibration are provided by the study of phonon linewidths in liquids and glasses, where a natural starting point is given by hydrodynamic theories. Finally, an agenda of outstanding issues including the appearance of compressed exponential relaxation in the intermediate scattering function of experimental and simulated systems (metal alloys, colloidal gels, jammed packings) is presented in light of available (or yet to be developed) mathematical models, and compared to non-exponential behaviour measured with macroscopic means such as mechanical spectroscopy/rheology. arXiv:2002.09397v2 [cond-mat.mtrl-sci]

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Anomalous phonon scattering and elastic correlations in amorphous solids

Cited by 128 publications

References 44 publications

High thermal conductivity in electrostatically engineered amorphous polymers

High thermal conductivity in electrostatically engineered amorphous polymers

Universal disorder-induced broadening of phonon bands: from disordered lattices to glasses

Relaxation and vibrational properties in metal alloys and other disordered systems

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