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泊松比和玻璃中的过剩低频振动态。

Poisson ratio and excess low-frequency vibrational states in glasses.

机构信息

Institut Lumière Matière, Université Lyon 1, CNRS, UMR 5306, F-69622 Villeurbanne Cedex, France.

出版信息

J Chem Phys. 2013 Aug 14;139(6):064506. doi: 10.1063/1.4817778.

DOI:10.1063/1.4817778
PMID:23947870
Abstract

In glass, starting from a dependence of the Angell's fragility on the Poisson ratio [V. N. Novikov and A. P. Sokolov, Nature 431, 961 (2004)], and a dependence of the Poisson ratio on the atomic packing density [G. N. Greaves, A. L. Greer, R. S. Lakes, and T. Rouxel, Nature Mater. 10, 823 (2011)], we propose that the heterogeneities are predominantly density fluctuations in strong glasses (lower Poisson ratio) and shear elasticity fluctuations in fragile glasses (higher Poisson ratio). Because the excess of low-frequency vibration modes in comparison with the Debye regime (boson peak) is strongly connected to these fluctuations, we propose that they are breathing-like (with change of volume) in strong glasses and shear-like (without change of volume) in fragile glasses. As a verification, it is confirmed that the excess modes in the strong silica glass are predominantly breathing-like. Moreover, it is shown that the excess breathing-like modes in a strong polymeric glass are replaced by shear-like modes under hydrostatic pressure as the glass becomes more compact.

摘要

在玻璃中,我们从安杰尔(Angell)易碎性依赖泊松比[V. N. Novikov 和 A. P. Sokolov,《自然》431,961(2004)]和泊松比依赖于原子堆积密度[G. N. Greaves、A. L. Greer、R. S. Lakes 和 T. Rouxel,《自然材料》10,823(2011)]这两个事实出发,提出在强玻璃(较低泊松比)中,非均匀性主要是密度波动,而在脆性玻璃(较高泊松比)中,非均匀性主要是剪切弹性波动。由于与这些波动强烈相关的低频振动模式的过剩,我们提出它们在强玻璃中是呼吸式(体积变化)的,而在脆性玻璃中是剪切式(体积不变)的。作为验证,我们确认了强二氧化硅玻璃中的过剩模式主要是呼吸式的。此外,我们还表明,随着玻璃变得更加紧密,在强聚合物玻璃中,过剩的呼吸式模式在静水压力下被剪切式模式所取代。

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引用本文的文献

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Materials (Basel). 2019 Jul 31;12(15):2439. doi: 10.3390/ma12152439.
2
Acoustic excitations and elastic heterogeneities in disordered solids.无序固体中的声激发和弹性非均匀性。
Proc Natl Acad Sci U S A. 2014 Aug 19;111(33):11949-54. doi: 10.1073/pnas.1409490111. Epub 2014 Aug 4.