Reply to "Comment on 'Statistical symmetries of the Lundgren-Monin-Novikov hierarchy' "

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):067002. doi: 10.1103/PhysRevE.92.067002. Epub 2015 Dec 23.

Abstract

In this Reply we respond to the criticism of Frewer et al. presented in the Comment on "Statistical symmetries of the Lundgren-Monin-Novikov hierarchy" by Wacławczyk et al. [Phys. Rev. E 90, 013022 (2014)]. We discuss physical interpretation of the statistical symmetries, and respond to criticism on the violation of the causality principle. We derive the Lundgren-Monin-Novikov equations for a flow with boundaries. Last, we stress that our work addressed the phenomenon of "external intermittency" (separation between laminar and turbulent flow), and not "internal intermittency" (strong fluctuations at small scales).

Publication types

  • Research Support, Non-U.S. Gov't
  • Comment

MeSH terms

  • Data Interpretation, Statistical*
  • Humans
  • Models, Statistical*