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arxiv: nlin/0302063 · v1 · submitted 2003-02-28 · 🌊 nlin.CD

An improved eps expansion for three-dimensional turbulence: summation of nearest dimensional singularities

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keywords expansiondimensionalimprovedsingularitiesturbulenceaccountcalculationcoefficients
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An improved $\eps$ expansion in the $d$-dimensional ($d > 2$) stochastic theory of turbulence is constructed by taking into account pole singularities at $d \to 2$ in coefficients of the $\eps$ expansion of universal quantities. Effectiveness of the method is illustrated by a two-loop calculation of the Kolmogorov constant in three dimensions.

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