Abstract

We consider high-order correlation functions of the passive scalar in the Kraichnan model. Using the instanton formalism, we find the scaling exponents ζn of the structure functions Sn for n≫1 under the additional condition dζ2≫1 (where d is the dimensionality of space).At n nc they are n-independent: ζ n=ζ2nc/4. We also estimate the n-dependent factors in Sn.

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