Hamiltonian structure of the Sabra shell model of turbulence: Exact calculation of an anomalous scaling exponent

Authors
L'vov, VS Podivilov, E Procaccia, I
Citation
Vs. L'Vov et al., Hamiltonian structure of the Sabra shell model of turbulence: Exact calculation of an anomalous scaling exponent, EUROPH LETT, 46(5), 1999, pp. 609-612
Citations number
5
Categorie Soggetti
Physics
Journal title
EUROPHYSICS LETTERS
ISSN journal
02955075 → ACNP
Volume
46
Issue
5
Year of publication
1999
Pages
609 - 612
Database
ISI
SICI code
0295-5075(19990601)46:5<609:HSOTSS>2.0.ZU;2-S
Abstract
We show that the Sabra shell model of turbulence, which was introduced rece ntly, displays a Hamiltonian structure for given Values of the parameters. The requirement of scale independence of the flux of this Hamiltonian allow s us to compute exactly a one-parameter family of anomalous scaling exponen ts associated with 4th-order correlation functions.