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

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

1998-04-23

arxiv.org/abs/chao-dyn/9804036v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1209/epl/i1999-00307-8

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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