https://doi.org/10.1140/epjb/e2003-00201-9
A statistical mechanics model of isotropic turbulence well-defined within the context of the ε expansion
1
Department of Physics & Astronomy, Rice University,
Houston, TX 77005–1892, USA
2
Department of Physics, The Catholic University of Korea, Puchon 420–743, Korea
Corresponding author: a mwdeem@rice.edu
Received:
20
December
2002
Published online:
23
July
2003
A statistical mechanics model of isotropic turbulence that renormalizes the effects of turbulent stresses into a velocity-gradient-dependent random force term is introduced. The model is well-defined within the context of the renormalization group ϵ expansion, as the effective expansion parameter is O(ε). The Kolmogorov constant and N parameter of turbulence are of order unity, in accord with experimental results. Nontrivial intermittency corrections to the single-time structure functions are calculated as a controlled expansion in ϵ.
PACS: 47.27.Ak – Fundamentals / 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 05.10.Cc – Renormalization group methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003