Enhanced Vibrational Stability in Glass Droplets
| Autor: | Chakraborty, Surajit, Krishnan, Vishnu V., Ramola, Kabir, Karmakar, Smarajit |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | PNAS Nexus, Volume 2, Issue 9, September 2023, pgad289 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1093/pnasnexus/pgad289 |
| Popis: | 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. Comment: 12 pages, 11 figures |
| Databáze: | arXiv |
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