Exponential decay of chaotically advected passive scalars in the zero diffusivity limit

作     者：Yue-Kin Tsang Thomas M. Antonsen, Jr. Edward Ott 

作者机构：Institute for Research in Electronics and Applied Physics Department of Physics and Department of Electrical and Computer Engineering University of Maryland College Park Maryland 20742 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2005年第71卷第6期

页      面：066301-066301页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：Chaos theory 

摘      要：The time asymptotic decay of the variance of a passive scalar in a chaotic flow is studied. Two mechanisms for this decay, which involve processes at short and long length scales, respectively, are considered. The validity of the short length scale mechanism, which is based on Lagrangian stretching theory, is discussed. We also investigate the regimes of applicability and observable signatures of the two mechanisms. Supporting evidence is provided by high resolution numerical experiments.