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

Abstract

We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. As a consequence we compute exactly a one-parameter family of anomalous scaling exponents associated with 4th order correlation functions.

PRL, submitted, REVTeX, 2 pages. Online (HTML) and PS versions of this and related papers available at http://lvov.weizmann.ac.il/onlinelist.html

References in corpus (1)

• An optimal shell model of turbulence

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