Institute for Complex Systems, National Research Council (ISC-CNR), 00185 Rome, Italy.
Dipartimento di Fisica, Sapienza Università di Roma, 00185 Rome, Italy.
Proc Natl Acad Sci U S A. 2018 Aug 28;115(35):8700-8704. doi: 10.1073/pnas.1805024115. Epub 2018 Aug 13.
We investigate the properties of the low-frequency spectrum in the density of states [Formula: see text] of a 3D model glass former. To magnify the non-Debye sector of the spectrum, we introduce a random pinning field that freezes a finite particle fraction to break the translational invariance and shifts all of the vibrational frequencies of the extended modes toward higher frequencies. We show that non-Debye soft localized modes progressively emerge as the fraction of pinned particles increases. Moreover, the low-frequency tail of [Formula: see text] goes to zero as a power law [Formula: see text], with [Formula: see text] and [Formula: see text] above a threshold fraction [Formula: see text].
我们研究了 3D 模型玻璃形成体的态密度[公式:见正文]中低频谱的性质。为了放大谱的非德拜部分,我们引入了一个随机钉扎场,该场将有限的粒子分数冻结以打破平移不变性,并将所有扩展模式的振动频率移向更高的频率。我们表明,随着钉扎粒子分数的增加,非德拜软局域模式逐渐出现。此外,[公式:见正文]的低频尾部以幂律[公式:见正文]趋于零,其中[公式:见正文]和[公式:见正文]在一个阈值分数[公式:见正文]以上。