Long-range dependence and second-order intermittency of two dimensional turbulence

This paper proposes a class of models to represent, in the same framework, the self-similarity/long-range dependence and second-order intermittency of 2-D turbulence. A method is given to estimate and separate these two effects. Application to a vorticity field indicates that the resulting energy spectrum follows the power laws, in the low-frequency as well as the high-frequency range, commonly observed in numerical experiments of 2-D turbulence.