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Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection

By L. Ts. Adzhemyan and others
The field theoretic renormalization group is applied to Kraichnan's model of a passive scalar quantity advected by the Gaussian velocity field with the pair correlation function \propto\delta(t-t')/k^{d+\epsilon}. Inertial-range anomalous scaling for the structure functions and various pair correlators is established as a consequence of the existence in the corresponding operator... Show more
May 23, 2002
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Renormalization group, operator product expansion and anomalous scaling in models of passive turbulent advection
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