The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking

The model of a large-scale injection into a turbulent flow of immiscible fl uid is considered. The long-time, large-scale asymptotic behavior of the en ergy dissipation rate epsilon is analyzed in the framework of renormalizati on group approach. It is shown that if the ordinary Kolmogorov dissipation regime (epsilon = const, in the inertial range) becomes unstable, the alter native asymptotic behavior would come true. In contrast to the standard Nav ier-Stokes turbulence, the alternative dissipation spectrum epsilon (k) has a minimum, which means that an optimal eddy size l exists in the model. Th is phenomenon provokes the flow into turbulence damping (the "bending effec t" in combustion) or stimulates the magnetohydrodynamic system to a generat ion of a large-scale mean magnetic field ("turbulent dynamo" effect).