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

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

1996-10-22

arxiv.org/abs/chao-dyn/9610016v1

Nonlinear Sciences

Chaotic Dynamics

PRL, Submitted. REVTeX, 4 pages, 3 figs.(not included). Online (html) version and PS Source of the paper with figures availabl

Scientific paper

10.1103/PhysRevE.55.R3836

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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