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

Victor S. L'vov·Evgenii Podivilov·Itamar Procaccia
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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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Victor S. L'vov, Evgenii Podivilov, Itamar Procaccia. 1998-04-23. Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent. https://doi.org/10.1209/epl%2Fi1999-00307-8

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