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Some comments on fluctuating-elasticity and local oscillator models for anomalous vibrational excitations in glasses

机译:关于玻璃中异常振动激发的波动弹性和局部振荡器模型的一些评论

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摘要

An overview is given on the present status of the theoretical description of vibrational spectra of glasses, as seen by inelastic neutron, X-ray and light (Raman) scattering. Using the language of Green's/response functions the merits and shortcomings of a local oscillator and a generalized elasticity-theory point of view are discussed. It is pointed out that in both cases the interaction of phonons with disorder-induced irregularities leads to Rayleigh scattering (mean free path ? ∞ ω~(- 4)) at low enough frequencies and temperatures. In disordered solids at ambient temperature the Rayleigh scattering is usually masqued by Akhiezer-like anharmonic scattering ? ∞ ω~(- 2), but it can be made visible by lowering the temperature. Using a combination of fluctuating-elasticity theory with an incoherent spectrum of local oscillators a fair description of the vibrational spectrum of glassy SiO_2 can be achieved.
机译:通过非弹性中子,X射线和光(拉曼)散射可以看到关于玻璃振动光谱理论描述的现状的概述。使用格林的响应函数语言,讨论了本振的优缺点和广义弹性理论的观点。要指出的是,在两种情况下,声子与无序引起的不规则性的相互作用都会在足够低的频率和温度下导致瑞利散射(平均自由程∞∞ω〜(-4))。在环境温度下的无序固体中,瑞利散射通常被类似Akhiezer的非谐散射所掩盖。 ∞ω〜(-2),但可以通过降低温度使其可见。结合使用波动弹性理论和本地振荡器的非相干谱,可以对玻璃状SiO_2的振动谱进行合理的描述。

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