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

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

2003-02-28

arxiv.org/abs/nlin/0302063v1

Phys. Rev. E 68, 055302(R) (2003)

Nonlinear Sciences

Chaotic Dynamics

4 pages

Scientific paper

10.1103/PhysRevE.68.055302

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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