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Phys. Rev. Lett. 73, 959–962 (1994)

Intermittency in fully developed turbulence: Log-Poisson statistics and generalized scale covariance

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Bérengère Dubrulle
Centre National de la Recherche Scientifique, UPR 182, Commissariat à l’Energie Atomique, Direction des Sciences de la Matiere, Department d’Astrophysique, Physique de Particules, Physique Nucleaire et d’Instrumentation Associee Service d’Astrophysique, Centre d’Etudes de Saclay, F-91191 Gif sur Yvette, France
Centre National de la Recherche Scientifique, URA 285, Observatoire Midi Pyrénées, 14 avenue Belin, F-31400 Toulouse, France

Received 3 March 1994; published in the issue dated 15 August 1994

Some properties of a model of intermittency in fully developed turbulence due to She and Lévêque [Phys. Rev. Lett. 72, 336 (1994)] are explored. The probability functions solution of the model is shown to be simply related to the log-Poisson statistics of local nondimensional energy dissipation. It is also shown that the intermittency obtained by She and Lévêque can be interpreted as the consequence of the scale covariance of the energy dissipation. Based on these observations, a new picture of turbulence is presented, in which scale covariance plays a central role.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.959
DOI:
10.1103/PhysRevLett.73.959
PACS:
47.27.-i