Nonperturbative zero modes in the Kraichnan model for turbulent advection

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

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14 Scopus citations


The anomalous scaling behavior of the nth order correlation functions [formula presented] of the Kraichnan model of turbulent passive scalar advection is believed to be dominated by the homogeneous solutions (zero modes) of the Kraichnan equation B-|[formula presented][formula presented]=0. Previous analysis found zero modes in perturbation theory with respect to a small parameter. We present a computer-assisted analysis of the simplest nontrivial case of n=3: we demonstrate nonperturbatively the existence of anomalous scaling, and compare the results with the perturbative predictions.

Original languageAmerican English
Pages (from-to)R3836-R3839
JournalPhysical Review E
Issue number4
StatePublished - 1997
Externally publishedYes


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