On scaling and statistical geometry in passive scalar turbulence

Details On scaling and statistical geometry in passive scalar turbulence On scaling and statistical geometry in passive scalar turbulence

2009-03-16

arxiv.org/abs/0903.2731v2

Phys. Rev. E 80, (2009), 025301(R)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.99.144502

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.

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