G125 一般化された統計に基づく速度分布関数

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タイトル別名
  • Velocity Distribution Function based on a Generalized Statistics

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An analytical expression of probability density function (PDF) of velocity fluctuation is derived with the help of the statistics based on generalized entropy (the Renyi entropy or the Tsallis entropy). It is revealed that the derived PDF explains the detailed structure of experimentally observed PDF. There is no adjustable parameter in the analysis. Every parameters appeared in the analysis, including the one proper to the Renyi entropy or the Tsallis entropy, are determined self-consistently by making use of observed value of intermittency exponent. Note that our unified analysis also provides us with the scaling exponents of velocity structure function which explains quite well observed exponents up to the one for higher moments.

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