## Anomalous scaling of passive scalar advected by turbulent
flow

*Vladimir Lebedev*, Landau Institute

Correlation functions of the passive scalar advected by a
turbulent flow are known to possess an anomalous scaling related to
their pumping length. The anomalous scaling is the most conspicuous
manifestation of the intermittency characteristic of turbulence.
Anomalous behavior of the passive scalar correlation functions can be
examined in the framework of the Kraichnan model where the turbulent
velocity is assumed to be short correlated in time and to possess
Gaussian statistics. Closed equations for the correlation functions
obtained in the framework of the model enable to relate the anomalous
behavior to zero modes of the operators controlling the equations.
Anomalous exponents can be explicitly calculated for different limit
cases.