| Issue |
Europhys. Lett.
Volume 46, Number 5, June I 1999
|
|
|---|---|---|
| Page(s) | 609 - 612 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i1999-00307-8 | |
| Published online | 01 September 2002 | |
Hamiltonian structure of the Sabra shell model of turbulence: Exact calculation of an anomalous scaling exponent
1
Department of Chemical Physics, The Weizmann Institute of
Science Rehovot 76100, Israel
2
Institute of Automatization and Electrometry, Russian Academy
of Sciences Novosibirsk 630090, Russia
Received:
4
January
1999
Accepted:
23
March
1999
We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. The requirement of scale independence of the flux of this Hamiltonian allows us to compute exactly a one-parameter family of anomalous scaling exponents associated with 4th-order correlation functions.
PACS: 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.27.Jv – High-Reynolds-number turbulence
© EDP Sciences, 1999
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