一维随机介质中Lévy行走波的延迟时间
Delay time of waves performing Lévy walks in 1D random media
摘要：
本文从实验和理论两方面研究了波在一维随机介质中传播的时间，并给出了Lévy行走的可能性。利用延迟时间研究了正则无序系统中的量子和经典波扩散动力学。我们表明，广泛的一类障碍-Lévy disorder-导致强烈的随机波动的延迟时间，然而，一些统计特性，如尾部的分布和平均延迟时间是不敏感的Lévy散步。我们的研究结果揭示了一个普遍的性质，超越标准的布朗波扩散的波传播。
英文摘要：
The time that waves spend inside 1D random media with the possibility of performing Lévy walks is experimentally and theoretically studied. The dynamics of quantum and classical wave diffusion has been investigated in canonical disordered systems via the delay time. We show that a wide class of disorder--Lévy disorder--leads to strong random fluctuations of the delay time; nevertheless, some statistical properties such as the tail of the distribution and the average of the delay time are insensitive to Lévy walks. Our results reveal a universal character of wave propagation that goes beyond standard Brownian wave-diffusion.
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