English

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

Chaotic Dynamics 2009-11-10 v1

Abstract

An improved \eps\eps expansion in the dd-dimensional (d>2d > 2) stochastic theory of turbulence is constructed by taking into account pole singularities at d2d \to 2 in coefficients of the \eps\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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Cite

@article{arxiv.nlin/0302063,
  title  = {An improved $\eps$ expansion for three-dimensional turbulence: summation of nearest dimensional singularities},
  author = {L. Ts. Adzhemyan and J. Honkonen and M. V. Kompaniets and A. N. Vasil'ev},
  journal= {arXiv preprint arXiv:nlin/0302063},
  year   = {2009}
}

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4 pages