Intermittency in fully developed turbulence: Log-Poisson statistics and generalized scale covariance.

Some properties of a model of intermittency in fully developed turbulence due to She and L\'ev\^eque [Phys. Rev. Lett. 72, 336 (1994)] are explored. The probability functions solution of the model is shown to be simply related to the log-Poisson statistics of local nondimensional energy dissipation. It is also shown that the intermittency obtained by She and L\'ev\^eque can be interpreted as the consequence of the scale covariance of the energy dissipation. Based on these observations, a new picture of turbulence is presented, in which scale covariance plays a central role.