论文标题
两相无序培养基中的软模式和安德森般的定位
Soft-mode and Anderson-like localization in two-phase disordered media
论文作者
论文摘要
波浪定位在无序培养基中无处不在 - 从无定形材料中，软模式定位与材料失败密切相关，与半导体密切相关，其中安德森定位导致金属 - 绝缘体过渡。但是，我们的主要理解是基于离散模型。在这里，我们通过研究具有异质模量和/或密度的标量波方程来对两相弹性介质中的波部定位进行连续观点。在低频率下，由于弹性模量无序而产生了软模式，这也可以通过定位景观预测。在高频率下，由于密度或模量的混乱，安德森状定位发生。对于后一种情况，我们演示了振动动力学如何从平面波变为扩散子随频率的增加。最后，我们讨论了我们发现对构建软材料设计的含义。
Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our main understanding, though, is based on discrete models. Here, we provide a continuum perspective on the wave localization in two-phase disordered elastic media by studying the scalar wave equation with heterogeneous modulus and/or density. At low frequencies, soft modes arise as a result of disordered elastic modulus, which can also be predicted by the localization landscape. At high frequencies, Anderson-like localization occurs due to disorder either in density or modulus. For the latter case, we demonstrate how the vibrational dynamics changes from plane waves to diffusons with increasing frequency. Finally, we discuss the implications of our findings on the design of architected soft materials.
