Unifying Description of the Vibrational Anomalies of Amorphous Materials

Mahajan, Shivam; Ciamarra, Massimo Pica

doi:10.1103/physrevlett.127.215504

Cited by 16 publications

(17 citation statements)

References 56 publications

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“…This phenomenon can be attributed to the shift from the small dissipation condition to the large dissipation condition [56], but further investigation is needed to verify this point. In the future, it is also interesting to describe the present results in terms of the other theoretical frameworks, including the effective medium theory or fluctuating elasticity theory [14][15][16][17][57][58][59][60], the random matrix approach [61][62][63], and other microscopic approaches [64][65][66].…”

Section: Discussionmentioning

confidence: 99%

Unified study of viscoelasticity and sound damping in hard and soft amorphous solids

Mizuno,

Saitoh,

Hara

et al. 2024

Preprint

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Amorphous solids are diverse materials that can take on various forms such as structural glasses, granular materials, foams, emulsions, and biological systems. Recent research has made significant progress in understanding non-phonon vibrations universally present in amorphous materials, which have been observed as excess vibrational states over the Debye law, known as boson peak, as well as quasi-localized vibrations. These vibrational states are crucial to explaining material properties of a wide range of amorphous materials, from ``hard" solids like structural glasses to ``soft" solids like foams and emulsions. However, we still lack a theoretical framework that can comprehensively explain them in a unified manner. Here, we propose a unified theory for viscoelasticity and sound damping which are significantly different between hard and soft amorphous solids but are ultimately determined by non-Debye scaling laws of the non-phonon vibrations. Our theory can explain acoustic properties of structural glasses, which have been measured experimentally with light, inelastic X-ray, and neutron scattering techniques, on one hand, and mechanical properties of foams and emulsions, which have been measured by various macrorheology and microrheology techniques, on the other. We thus provide a comprehensive explanation for these experimental measurements of two distinct types of amorphous solids.

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Section: Discussionmentioning

confidence: 99%

Unified study of viscoelasticity and sound damping in hard and soft amorphous solids

Mizuno,

Saitoh,

Hara

et al. 2024

Preprint

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“…where • denotes the sample-to-sample average. The quantifier χ was discussed at length in [11,35,[54][55][56]; it has been shown to determine wave attenuation rates in the harmonic regime [55,56]. Here, we use a jackknifelike method to approximate χ, see details in [35].…”

Section: Appendix B: Observablesmentioning

confidence: 99%

Disordered crystals reveal soft quasilocalized glassy excitations

Lerner¹,

Bouchbinder²

2022

Preprint

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Structural glasses formed by quenching a melt are known to host a population of low-energy quasilocalized (nonphononic) excitations whose frequencies ω follow a universal ∼ ω 4 distribution as ω → 0, independently of the glass formation history, the interparticle interaction potential or spatial dimension. Here, we show that the universal quartic law of nonphononic excitations also holds in disordered crystals featuring finite long-range order, which is absent in their glassy counterparts. We thus establish that the degree of universality of the quartic law extends beyond structural glasses quenched from a melt. We further find that disordered crystals, whose level of disorder can be continuously controlled, host many more quasilocalized excitations than expected based on their degree of mechanical disorder -quantified by the relative fluctuations of the shear modulus -as compared to structural glasses featuring a similar degree of mechanical disorder. Finally, we show that the stability bound on nonlinear quasilocalized excitations -previously established in structural glasses -also holds in disordered crystals. Our results are related to glass-like anomalies experimentally observed in disordered crystals. More broadly, they constitute an important step towards tracing the essential ingredients necessary for the emergence of universal nonphononic excitations in disordered solids.

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“…In 2020, Chattoraj and Ciamarra demonstrated that the nonperturbative dynamic effects of attractive forces were equivalent to the activation energy at the glass transition temperature, resulting in consistent dynamic properties for various types of glassy matter, including metals, polymers, or colloids, when subjected to the same level of attractive forces [25]. Furthermore, Mahajan and Ciamarra unified the description of vibrational anomalies using elastic disorders and localised defects in glassy matter [26].…”

Section: Introductionmentioning

confidence: 99%

When physics meets chemistry at the dynamic glass transition

2024

Rep. Prog. Phys.

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Can the laws of physics be unified? One of the most puzzling challenges is to reconcile physics and chemistry, where molecular physics meets condensed-matter physics, resulting from the dynamic fluctuation and scaling effect of glassy matter at the glass transition temperature. The pioneer of condensed-matter physics, Nobel Prize-winning physicist Philip Warren Anderson referred to this gap as the deepest and most interesting unsolved problem in condensed-matter physics in 1995. In 2005, Science, in its 125th anniversary publication, highlighted that the question of “what is the nature of glassy state?” was one of the greatest scientific conundrums for the next quarter century. However, the nature of the glassy state and its connection to the glass transition have not been fully understood owing to the interdisciplinary complexity of physics and chemistry, governed by physical laws at the condensed-matter and molecular scales, respectively. Therefore, the study of glass transition is essential to explore the working principles of the scaling effects and dynamic fluctuations in glassy matter and to further reconcile the interdisciplinary complexity of physics and chemistry. Initially, this paper proposes a thermodynamic order-to-disorder free-energy equation for microphase separation to formulate the dynamic equilibria and fluctuations, which originate from the interplay of the phase and microphase separations during glass transition. Secondly, the Adam-Gibbs (AG) domain model is employed to explore the cooperative dynamics and molecular entanglement in glassy matter. It relies on the concept of transition probability in pairing, where each domain contains e+1 segments, in which approximately 3.718 segments cooperatively relax in a domain at the glass transition temperature. This model enables the theoretical modelling and validation of a previously unverified statement, suggesting that 50 to 100 individual monomers would relax synchronously at glass transition temperature.

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Unifying Description of the Vibrational Anomalies of Amorphous Materials

Cited by 16 publications

References 56 publications

Unified study of viscoelasticity and sound damping in hard and soft amorphous solids

Unified study of viscoelasticity and sound damping in hard and soft amorphous solids

Disordered crystals reveal soft quasilocalized glassy excitations

When physics meets chemistry at the dynamic glass transition

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