Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.044501
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Funding
- National Science Foundation
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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-lambda <= 3. The developed theory is in quantitative agreement with the outcome of large-scale numerical simulations.
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