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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0302063 (nlin)
[Submitted on 28 Feb 2003]

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

Authors: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.
Comments: 4 pages
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0302063 [nlin.CD]
  (or arXiv:nlin/0302063v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0302063
Journal reference: Phys. Rev. E 68, 055302(R) (2003)
Related DOI: https://doi.org/10.1103/PhysRevE.68.055302

Submission history

From: Juha Honkonen [view email]
[v1] Fri, 28 Feb 2003 13:01:53 UTC (8 KB)
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