Birth of the triple correlations of vorticity in an homogenous turbulence submitted to a solid body rotation

A homogeneous and isotropic turbulence is suddenly subjected to a rigid bod y rotation, whose influence on the turbulent vorticity field is studied. It is shown that only the odd statistical moments are influenced by the rotat ion at the first order in time. This effect is shown in particular for trip le correlations and should be more important for a small Rossby number: (C) 2001 Academic des sciences/Editions scientifiques et medicales Elsevier SA S.