Statistics of the Lyapunov exponent in one-dimensional layered systems

Pi Gang Luan, Zhen Ye

研究成果: 雜誌貢獻期刊論文同行評審

摘要

Localization of acoustic waves in a one-dimensional water duct containing many randomly distributed air filled blocks is studied. Both the Lyapunov exponent and its variance are computed. Their statistical properties are also explored extensively. The results reveal that in this system a single-parameter scaling is generally inadequate no matter whether the frequency we consider is located in a pass band or in a band gap. This contradicts the earlier observations in an optical case. We compare the results with two optical cases and give a possible explanation of the origin of the different behaviors.

原文???core.languages.en_GB???
頁(從 - 到)6
頁數1
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
64
發行號6
DOIs
出版狀態已出版 - 2001

指紋

深入研究「Statistics of the Lyapunov exponent in one-dimensional layered systems」主題。共同形成了獨特的指紋。

引用此