Functional Renormalization Group approach to the Kraichnan model

Abstract

We study the anomalous scaling of the structure functions of a scalar field advected by a random Gaussian velocity field, the Kraichnan model, by means of Functional Renormalization Group techniques. We analyze the symmetries of the model and derive the leading correction to the structure functions considering the renormalization of composite operators and applying the operator product expansion.

12 pages, 5 figures

References in corpus (3)

• Exact evolution equation for the effective potential
• Fully developed isotropic turbulence: symmetries and exact identities
• Scaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection

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• Helical turbulent Prandtl number in the $A$ model of passive advection: Two loop approximation
• Perspectives on scaling and multiscaling in passive scalar turbulence
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• Operator product expansion coefficients from the nonperturbative functional renormalization group