ANOMALOUS DIFFUSION AND MIXING OF CHAOTIC ORBITS IN HAMILTONIAN DYNAMIC-SYSTEMS

被引:21
作者
ISHIZAKI, R
HORITA, T
MORI, H
机构
[1] KYUSHU INST TECHNOL,DEPT CONTROL ENGN & SCI,IIZUKA 812,JAPAN
[2] KYUSHU KYORITSU UNIV,DEPT PHYS,KITAKYUSHU 807,JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1993年 / 89卷 / 05期
关键词
D O I
10.1143/PTP.89.947
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Anomalous behaviors of the diffusion and mixing of chaotic orbits due to the intermittent sticking to the islands of normal tori and accelerator-mode tori in a widespread chaotic sea are studied numerically and theoretically for Hamiltonian systems with two degrees of freedom. The probability distribution functions for the coarse-grained velocity (characterizing the diffusion) and the coarse-grained expansion rate (characterizing the mixing) turn out to obey an anomalous scaling law which is quite different from the Gaussian. The scaling law is confirmed for both diffusion and mixing by numerical experiments on the heating map introduced by Karney, which exhibits remarkable statistical properties more clearly than the standard map. Its scaling exponents for the two cases, however, are found to be different from each other.
引用
收藏
页码:947 / 963
页数:17
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