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Phys. Rev. E 55, R4881–R4884 (1997)

Three-point correlation function of a scalar mixed by an almost smooth random velocity field

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E. Balkovsky1, G. Falkovich1, and V. Lebedev1,2
11Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
22Landau Institute for Theoretical Physics, Moscow, Kosygina 2, 117940, Russia

Received 22 January 1997; published in the issue dated May 1997

We demonstrate that if the exponent γ that measures nonsmoothness of the velocity field is small then the isotropic zero modes of the scalar's triple correlation function have the scaling exponents proportional to γ. Therefore, zero modes are subleading with respect to the forced solution that has normal scaling with the exponent γ.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.R4881
DOI:
10.1103/PhysRevE.55.R4881
PACS:
47.10.+g, 47.27.-i, 05.40.+j