Eur. Phys. J. B 34, 105-114 (2003)
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

Abstract

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.