Nonphononic spectrum of two-dimensional structural glasses

Abstract

The scaling form and system-size dependence of the low-frequency wing of the nonphononic vibrational spectrum of two-dimensional structural glasses have been debated in recent literature. Here we provide numerical evidence that the prefactor $A_{\mathrm{g}}$ of the low-frequency nonphononic vibrational spectrum -- the latter grows from zero frequency ($\omega =0$) as $A_{\mathrm{g}}{\omega }^{\beta }$ -- is system-size dependent, and that the exponent $\beta$ exhibits a similar glass-formation-protocol and system-size dependence as seen in three-dimensional structural glasses.

arXiv comment3 pages, 2 figure (expanded data set & additional figure with rescaled cumulative distributions)

References in corpus (12)

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Cited by in corpus (8)

• Scaling of the Non-Phononic Spectrum of Two-Dimensional Glasses
• Non-phononic density of states of two-dimensional glasses revealed by random pinning
• Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
• Experimental evidence for the ${\omega }^4$ tail of the nonphononic spectra of glasses
• Enhanced Vibrational Stability in Glass Droplets
• Testing the Heterogeneous-Elasticity Theory for low-energy excitations in structural glasses
• Enumerating low-frequency nonphononic vibrations in computer glasses
• Sound Attenuation in Glasses