A note on the application of non-extensive statistical mechanics to fully developed turbulence

A note on the application of non-extensive statistical mechanics to fully developed turbulence
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关于非广延统计力学在完全发展的湍流中的应用的说明

DOI:
10.1088/0305-4470/34/19/304
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发表时间:
2001
期刊:
影响因子:
--
通讯作者:
C. Beck
C. Beck
中科院分区:
--
文献类型:
--
作者:
B. Shivamoggi;C. Beck

文献摘要

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我们表明,最近的应用非广泛的统计力学充分发展的湍流(FDT)满足诺维科夫的不等式,只有在近高斯极限,并表现出与各种其他配方的FDT的兼容性。我们定义了非扩展性参数q与对数正态、多重分形和随机β模型的相应参数之间的关系。
We show that the recent application of non-extensive statistical mechanics to fully developed turbulence (FDT) satisfies Novikov's inequality only in the near-Gaussian limit and exhibits compatibility with various other formulations of FDT. We define relations between the non-extensivity parameter q and the corresponding parameters of the lognormal, multifractal and random-β model.