A unified quantifier of mechanical disorder in solids

Kapteijns, Geert; Bouchbinder, Eran; Lerner, Edan

doi:10.48550/arxiv.2106.12613

2021

DOI: 10.48550/arxiv.2106.12613

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A unified quantifier of mechanical disorder in solids

Geert Kapteijns,

Eran Bouchbinder,

Edan Lerner

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“…δ(ω − ω l ) with ω l the frequency of mode l and N the number of particles. In glasses, there are no pure plane-wave modes and the frequencies of the plane-wave-like modes are generally clustered around the Debye predictions [34,69]. Since Debye theory predicts discrete modes in finite systems, one has to be careful when calculating the density of states since that calculation requires a division by the bin size δω.…”

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Low-frequency excess vibrational modes in two-dimensional glasses

Wang,

Szamel,

Flenner

2021

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Glasses possess more low-frequency vibrational modes than predicted by Debye theory. These excess modes are crucial for the understanding of the low temperature thermal and mechanical properties of glasses, which differ from those of crystalline solids. Recent simulational studies suggest that the density of the excess modes scales with their frequency ω as ω 4 in two and higher dimensions. Here, we present extensive numerical studies of two-dimensional model glass formers over a large range of glass stabilities. We find that the density of the excess modes follows Dexc(ω) ∼ ω 2 up to around the boson peak, regardless of the glass stability. The stability dependence of the overall scale of Dexc(ω) correlates with the stability dependence of low-frequency sound attenuation. However, we also find that in small systems, where the first sound mode is pushed to higher frequencies, at frequencies below the first sound mode there are excess modes with a system size independent density of states that scales as ω 3 .

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confidence: 99%

Low-frequency excess vibrational modes in two-dimensional glasses

Wang,

Szamel,

Flenner

2021

Preprint

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A unified quantifier of mechanical disorder in solids

Cited by 1 publication

References 46 publications

Low-frequency excess vibrational modes in two-dimensional glasses

Low-frequency excess vibrational modes in two-dimensional glasses

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