Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent
Victor S. L'vov, Evgenii Podivilov, Itamar Procaccia
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.
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