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Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection

Omri Gat·Victor S. L'vov·Evgenii Podivilov·Itamar Procaccia
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Abstract

The anomalous scaling behavior of the n-th order correlation functions ${\cal F}_n$ of the Kraichnan model of turbulent passive scalar advection is believed to be dominated by the homogeneous solutions (zero-modes) of the Kraichnan equation $\hat{\cal B}_n {\cal F}_n=0$. Previous analysis found zero-modes in perturbation theory in a small parameter. We present non-perturbative analysis of the simplest (non-trivial) case of n=3 and compare the results with the perturbative predictions.

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Omri Gat, Victor S. L'vov, Evgenii Podivilov, Itamar Procaccia. 1996-10-22. Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection. https://doi.org/10.1103/physreve.55.r3836

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