Fourth-order correlation function of a randomly advected passive scalar
Balkovsky E., Chertkov M. , Kolokolov I. , Lebedev V.
Advection of a passive scalar θ in d=2 by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was discovered in Ref. 1. Here we examine the deviations from the Gaussian behavior: The simultaneous fourth-order correlation function of θ is obtained analytically. Explicit expressions for fourth-order objects, like — ^Ç)4)» are derived. © 1995 American Institute of Physics.