Non-extensive statistical mechanics of compressible turbulence

Non-extensive statistical mechanics approach to fully developed compressible turbulence is considered and is shown to be even more viable than that for incompressible turbulence. This approach affords a whole new perspective to spatial intermittency aspects in fully developed compressible turbulence on the one hand, and provides results that are consistent with those obtained previously by multi-fractal formulations. The results confirm uniformly that compressibility effects tend to reduce spatial intermittency in fully developed turbulence.