期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 111, 期 50, 页码 17765-17770出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1417725111
关键词
wave scattering; disordered media; random walk; diffusion; time delay
资金
- Laboratory of Excellence Waves and Imaging from Fundamentals to Innovation (Labex WIFI) within the French Program Investments for the Future [ANR-10-LABX-24, ANR-10-IDEX-0001-02 PSL*]
- Austrian Science Fund (FWF) [NextLite F49-10, I 1142-N27]
- European Research Council [278025]
- Austrian Science Fund (FWF) [I 1142] Funding Source: researchfish
A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only on the system's boundary geometry and is thus unaffected by the value of the mean free path. Here we show that this result is rooted on a much deeper level than that of a random walk, which allows us to extend the reach of this universal invariance property beyond the diffusion approximation. Specifically, we demonstrate that an equivalent invariance relation also holds for the scattering of waves in resonant structures as well as in ballistic, chaotic or in Anderson localized systems. Our work unifies a number of specific observations made in quite diverse fields of science ranging from the movement of ants to nuclear scattering theory. Potential experimental realizations using light fields in disordered media are discussed.
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