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arXiv 2303.07147cond-mat.softcond-mat.dis-nn
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玻璃液滴中增强的振动稳定性

Enhanced Vibrational Stability in Glass Droplets

Surajit Chakraborty, Vishnu V. Krishnan, Kabir Ramola, Smarajit Karmakar

AI总结:

本文通过模拟发现,采用慢退火协议在开放边界条件下制备的非晶固体相比周期性边界具有更少的低频振动模式,其态密度标度律发生改变,展现出增强的振动稳定性,但在引入宏观应力后该行为会恢复。

摘要:

我们通过对在开放边界条件下制备的非晶固体进行模拟,表明与周期性边界对应物相比,它们具有明显更少的低频振动模式。具体而言,通过测量振动态密度,我们发现 $D(ω) \sim ω^4$ 定律在二维中变为 $D(ω) \sim ω^δ$ 且 $δ\approx 5$,在三维中 $δ\approx 4.5$。关键在于,这种增强的稳定性是在利用慢退火协议生成固体构型时实现的。我们对这类开放边界系统中对应最低频模式的极小值进行了非谐分析,并讨论了它们与态密度的相关性。对不同系统尺寸的研究进一步表明,小系统在振动中表现出更高的局域化程度。最后,我们将开放边界固体进行约束,以在无约束系统中不存在的系统内引入宏观应力,并发现 $D(ω) \sim ω^4$ 行为得以恢复。

英文摘要:

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 $D(ω) \sim ω^4$ law changes to $D(ω) \sim ω^δ$ with $δ\approx 5$ in two dimensions and $δ\approx 4.5$ 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 $D(ω) \sim ω^4$ behavior is recovered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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