D. Gutman et E. Balkovsky, ANOMALOUS SCALING OF A TRIPLE CORRELATION-FUNCTION OF A RANDOMLY ADVECTED PASSIVE SCALAR, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 4435-4437
For a short-correlated Gaussian velocity field the problem of the pass
ive scalar with the imposed constant gradient is considered. It is sho
wn that the scaling of the three-point correlation function is anomalo
us. In the limit of large dimension of space d, the anomalous exponent
is calculated.