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壳模型湍流时间序列长度的概率分布
引用本文:姜丽娜,孙鹏,王光瑞.壳模型湍流时间序列长度的概率分布[J].宁夏大学学报(自然科学版),2009,30(3):236-239.
作者姓名:姜丽娜  孙鹏  王光瑞
作者单位:1. 辽宁科技大学理学院,辽宁鞍山,114051
2. 鞍山师范学院物理系,辽宁鞍山,114005
3. 北京应用物理与计算数学研究所,北京,100088
摘    要:将Gledzer-Ohkitani-Yamada模型中的阵发混沌时间序列划分为不稳定周期部分的时间序列和阵发部分的时间序列,分别研究了各个壳的2类时间序列长度概率分布的特点.概率分布基本统计量的结果表明,惯性区各壳的概率分布随壳数振荡变化;而耗散区各壳的概率分布几乎相同,随着可调参数δ的增大,各壳的概率分布显著偏离高斯分布,这可能是速度结构函数相对标度指数对于K41标度律偏离的隐性原因.

关 键 词:概率分布  阵发混沌  阵发部分时间序列  不稳定周期部分时间序列

Probability of the Length of Time Series in Turbulence of A Shell Model
Jiang Lina,Sun Peng,Wang Guangrui.Probability of the Length of Time Series in Turbulence of A Shell Model[J].Journal of Ningxia University(Natural Science Edition),2009,30(3):236-239.
Authors:Jiang Lina  Sun Peng  Wang Guangrui
Institution:Jiang Lina , Sun Peng , Wang Guangrui (1. School of Science, Liaoning University of Science and Technology, Anshan 114051, China; 2. Physics Department, Anshan normal college, Anshan 114005, China; 3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China)
Abstract:In this paper, the intermittent time series are divided into unstable periodic part time series and intermittent part time series for Gledzer-Ohkitani-Yamada model. The probability distribution of length of the two kinds of time series for each shell are investigated. The elementary statistics indicate that the probability distribution in inertial range surge distinctly with shell number, while the probability distribution in dissipation range change little. Moreover, the probability distribution departs prominently from Gauss probability distribution with adjusted parameter increasing, which may be the concealed cause for relative scaling of velocity structure function deviating from Kolmogorov 41 scaling.
Keywords:probability distribution  intermittent chaos  intermittent part time series  unstable periodic part time series
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