Application of generalized thermostatistics to fully developed turbulence
Application of generalized thermostatistics to fully developed turbulence
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DOI：
10.1016/s0378-4371(99)00508-7
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发表时间：
2000-03-01
期刊：
影响因子：
3.3
通讯作者：
Beck, C
中科院分区：
文献类型：
--
作者：
Beck, C
我们应用非广延统计力学的形式主义充分发展的湍流。我们得到的概率密度函数的速度差取决于距离r/n和雷诺数R-λ，这是非常好的协议与湍流实验的解析公式。考虑到偏度分析由于高阶相关的混沌动力学的普遍贡献。我们还计算了矩标度指数zeta（m），这也符合实验数据。(C)2000 Elsevier Science B. V.保留所有权利。
We apply the formalism of non-extensive statistical mechanics to fully developed turbulent flows. We obtain analytical formulas for probability density functions of velocity differences depending on distance r/n and Reynolds number R-lambda, which are in very good agreement with turbulence experiments. The skewness is taken into account by analysing universal contributions due to higher-order correlations of the chaotic dynamics. We also calculate the moment scaling exponents zeta(m), which also agree well with experimental data. (C) 2000 Elsevier Science B.V. All rights reserved.