title: Mean-field approximation and extended self-similarity in turbulence.
abstract: Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments, enabling precise determination of the scaling exponents of fully developed turbulence. A sufficient condition for extended self-similarity in a general dynamical system is derived in this paper. It is also shown that if the pressure-gradient contributions are expressed in terms of velocity differences in the mean-field approximation [V. Yakhot, Phys. Rev. E 63, 026307 (2001)], then the ESS is a consequence of the Navier-Stokes equations.
authors.affiliation: Institute for Advanced Study, Princeton, New Jersey 08540, USA.
authors.forename: V
authors.initials: V
authors.lastname: Yakhot