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

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1999 EDP Sciences
, , Citation V. S. L'vov et al 1999 EPL 46 609 DOI 10.1209/epl/i1999-00307-8

0295-5075/46/5/609

Abstract

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.

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10.1209/epl/i1999-00307-8