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

L. Ts. Adzhemyan·J. Honkonen·M. V. Kompaniets·A. N. Vasil'ev
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Abstract

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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L. Ts. Adzhemyan, J. Honkonen, M. V. Kompaniets, A. N. Vasil'ev. 2003-02-28. An improved $\eps$ expansion for three-dimensional turbulence: summation of nearest dimensional singularities. https://doi.org/10.1103/physreve.68.055302

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