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arXiv 2202.01149cond-mat.mes-hall
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二维嵌入纳米颗粒复合材料中的声子散射与振动局域化

Phonon scattering and vibrational localization in 2D embedded nanoparticle composites

Ongira Chowdhury, Joseph P. Feser

AI总结:

本研究采用FDPML实现的Landauer方法研究二维嵌入纳米颗粒复合材料的声子输运,明确了独立散射近似的适用范围,揭示局域化源于能量约束而非安德森局域化,且轻颗粒重基体可提升约束模式占比。

摘要:

本研究采用由频域完美匹配层法(FDPML)实现的Landauer方法,研究了一系列随机嵌入纳米颗粒的大型二维域中,在宽范围纳米颗粒负载量和波长下的声子输运特性。文章表征了纳米颗粒堆积密度对平均自由程和局域化长度的影响。研究发现,在米氏散射区,独立散射近似在体积分数超过10%时依然有效,且根据散射参数的不同,适用体积分数通常更高,这表明平均自由程通常可利用单个散射体的数密度和散射截面以更低成本计算得到。研究还分析了局域化长度及其对颗粒负载量的依赖关系。对于较轻基体中含有重颗粒的情况,采用Landauer方法仅在体积分数>30%时能观测到局域化现象,且仅出现在频率高于嵌入纳米颗粒振动频率的高频模式中。通过模态分析表明,含纳米颗粒材料中的局域化主要源于能量约束,而非安德森局域化。随后研究证实,在重基体中使用轻颗粒可大幅提升受约束模式的占比。

英文摘要:

In this work, a Landauer approach enabled by the Frequency Domain Perfectly Matched Layer Method (FDPML) is used to study phonon transport in a series of large 2D domains with randomly embedded nanoparticles over a wide range of nanoparticle loadings and wavelengths. The effect of nanoparticle packing density on the mean free path and localization length is characterized. We observe that in the Mie scattering regime, the independent scattering approximation is valid up to volume fractions exceeding 10% and often higher depending on scattering parameter, indicating the mean free path can usually be calculated much less expensively using the number density and the scattering cross-section of a single scatterer. We also study localization lengths and their dependence on particle loading. In the case of heavy particles in a lighter matrix, we have been able to observe localization only at volume fractions >30% using the Landauer approach and only for high frequency modes, exceeding the vibration frequencies of the embedded nanoparticles. Using modal analysis we show that localization in nanoparticle laden materials is primarily due to energetic confinement rather than Anderson localization. Subsequently, we show that by using light particles in a heavy matrix the fraction of confined modes can be substantially increased.

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