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Operator product expansion and multi-point correlations in turbulent energy cascades

2015; Institute of Physics; Volume: 48; Issue: 18 Linguagem: Inglês

10.1088/1751-8113/48/18/18ft02

1751-8121

Gregory Falkovich, Alexander B. Zamolodchikov,

Combustion and flame dynamics

We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.