Emergence of Multiscaling in a Random-Force Stirred Fluid. Academic Article uri icon


  • We consider the transition to strong turbulence in an infinite fluid stirred by a Gaussian random force. The transition is defined as a first appearance of anomalous scaling of normalized moments of velocity derivatives (dissipation rates) emerging from the low-Reynolds-number Gaussian background. It is shown that, due to multiscaling, strongly intermittent rare events can be quantitatively described in terms of an infinite number of different "Reynolds numbers" reflecting a multitude of anomalous scaling exponents. The theoretically predicted transition disappears at R_{}3. The developed theory is in quantitative agreement with the outcome of large-scale numerical simulations.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Yakhot, V., & Donzis, D.

citation count

  • 22

complete list of authors

  • Yakhot, Victor||Donzis, Diego

publication date

  • July 2017