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