ar X iv : a st ro - p h / 04 08 06 2 v 2 1 1 N ov 2 00 4 Excitation of large - scale inertial waves in a rotating inhomogeneous turbulence

A mechanism of excitation of the large-scale inertial waves in a rotating inhomogeneous turbulence due to an excitation of a large-scale instability is found. This instability is caused by a combined effect of the inhomogeneity of the turbulence and the uniform mean rotation. The source of the largescale instability is the energy of the small-scale turbulence. We determined the range of parameters at which the large-scale instability occurs, the growth rate of the instability and the frequency of the generated large-scale inertial waves.