Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection
Abstract
The anomalous scaling behavior of the n-th order correlation functions Fn of the Kraichnan model of turbulent passive scalar advection is believed to be dominated by the homogeneous solutions (zero-modes) of the Kraichnan equation Bn Fn=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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