On scaling and statistical geometry in passive scalar turbulence

Abstract

We show that the statistics of a turbulent passive scalar at scales larger than the pumping may exhibit multiscaling due to a weaker mechanism than the presence of statistical conservation laws. We develop a general formalism to give explicit predictions for the large scale scaling exponents in the case of the Kraichnan model and discuss their geometric origin at small and large scale.

4 pages, 1 figure

References in corpus (2)

• An improved $\eps$ expansion for three-dimensional turbulence: two-loop renormalization near two dimensions
• Effects of forcing in three dimensional turbulent flows

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