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Condensed Matter > Soft Condensed Matter
Title: Enhanced Vibrational Stability in Glass Droplets
(Submitted on 13 Mar 2023 (v1), last revised 10 Oct 2023 (this version, v2))
Abstract: We show through simulations of amorphous solids prepared in open boundary conditions that they possess significantly fewer low-frequency vibrational modes compared to their periodic boundary counterparts. Specifically, using measurements of the vibrational density of states, we find that the $D(\omega) \sim \omega^4$ law changes to $D(\omega) \sim \omega^\delta$ with $\delta \approx 5$ in two dimensions and $\delta \approx 4.5$ in three dimensions. Crucially, this enhanced stability is achieved when utilizing slow annealing protocols to generate solid configurations. We perform an anharmonic analysis of the minima corresponding to the lowest-frequency modes in such open-boundary systems and discuss their correlation with the density of states. A study of various system sizes further reveals that small systems display a higher degree of localization in vibrations. Lastly, we confine open-boundary solids in order to introduce macroscopic stresses in the system which are absent in the unconfined system, and find that the $D(\omega) \sim \omega^4$ behavior is recovered.
Submission history
From: Surajit Chakraborty [view email][v1] Mon, 13 Mar 2023 14:19:15 GMT (2725kb,D)
[v2] Tue, 10 Oct 2023 13:50:20 GMT (4058kb,D)
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