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arXiv 0804.2439cond-mat.softcond-mat.stat-mech
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硬盘微观动力学的简正模分析

Normal modes analysis of the microscopic dynamics in hard discs

Carolina Brito, Matthieu Wyart

摘要:

本文用数值方法估计了一杯硬盘中自由能的简正模。我们观察到,在玻璃化转变附近或在玻璃相中快速淬火后,态密度(i)是边缘稳定结构的特征,特别是它di扩展频率标度$ω^*\sim p^{1/2}$,其中$p$是压力,以及(ii)给出了短时动态的忠实表示。这进一步证明了玻璃化转变附近的玻色子峰对应于弱配位结构的边缘模式的弛豫,并意味着玻璃相中的均方位移非常大,并以$< δR^2 > \sim p^{-3/2}$的形式进行,这是我们数值验证的预测。

英文摘要:

We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally stable structure, in particular it di splays a frequency scale $ω^*\sim p^{1/2}$, where $p$ is the pressure and (ii) gives a faithful representation of the short-time dyn amics. This brings further evidences that the boson peak near the glass transition corresponds to the relaxation of marginal modes of a we akly-coordinated structure, and implies that the mean square displacement in the glass phase is anomalously large and goes as $< δR^2 > \sim p^{-3/2}$, a prediction that we check numerically.

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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