English

On the Steady State Distributions for Turbulence

Fluid Dynamics 2011-05-19 v1 Statistical Mechanics High Energy Physics - Theory

Abstract

We propose explicit forms for the steady state distributions governing fully developed turbulence in two and three spatial dimensions. We base our proposals on the crucial importance of the area and volume preserving diffeomorphisms in the space of velocities. We argue that these distributions can lead to the relevant (Kolmogorov and Kraichnan) scaling laws.

Keywords

Cite

@article{arxiv.1105.2941,
  title  = {On the Steady State Distributions for Turbulence},
  author = {Djordje Minic and Michel Pleimling and Anne E. Staples},
  journal= {arXiv preprint arXiv:1105.2941},
  year   = {2011}
}

Comments

submitted to Phys. Rev. E

R2 v1 2026-06-21T18:07:32.087Z