Analysis of fully developed turbulence in terms of Tsallis statistics
Analysis of fully developed turbulence in terms of Tsallis statistics
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DOI：
10.1103/physreve.61.3237
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发表时间：
2000-03-01
影响因子：
2.4
通讯作者：
Arimitsu, N
中科院分区：
文献类型：
--
作者：
Arimitsu, T;Arimitsu, N
从Tsallis非泛化统计的观点出发，重新研究了利用二项式乘法过程对充分发展的湍流的分析，以期对理解Tsallis系综的潜在物理意义提供一些见解。导出了Tsallis指数q与旋涡大小多重分形表现的间歇指数mu之间的关系式。通过推导公式，表明湍流动能局部耗散的概率密度函数可以用Tsallis统计类型的分布函数表示，其指标q由实验观测量mu决定。
The analysis of the fully developed turbulence with the help of the binomial multiplicative process is reinvestigated from the standpoint of Tsallis nonextensive statistics in order to provide some insight in understanding the underlying physical meaning of the Tsallis ensemble. The formula is derived which relates Tsallis index q with the intermittency exponent mu that is a manifestation of multifractality of the sizes of eddies. It is shown that the probability density function of the local dissipation of turbulent kinetic energy can be represented by a distribution function of the type in Tsallis statistics with the index q determined by the experimentally observable quantity mu through the derived formula.