Anomalous Scaling in the N-Point Functions of Passive Scalar

Denis Bernard; Krzysztof Gawedzki; Antti Kupiainen

doi:10.1103/physreve.54.2564

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arXiv · chao-dyn/9601018

Anomalous Scaling in the N-Point Functions of Passive Scalar

Denis Bernard·Krzysztof Gawedzki·Antti Kupiainen

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Abstract

A recent analysis of the 4-point correlation function of the passive scalar advected by a time-decorrelated random flow is extended to the N-point case. It is shown that all stationary-state inertial-range correlations are dominated by homogeneous zero modes of singular operators describing their evolution. We compute analytically the zero modes governing the N-point structure functions and the anomalous dimensions corresponding to them to the linear order in the scaling exponent of the 2-point function of the advecting velocity field. The implications of these calculations for the dissipation correlations are discussed.

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Denis Bernard, Krzysztof Gawedzki, Antti Kupiainen. 1996-01-31. Anomalous Scaling in the N-Point Functions of Passive Scalar. https://doi.org/10.1103/physreve.54.2564

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