Cosmological dark turbulence and scaling relations in self-gravitating systems

E-ISSN： 1638-1963|36|issue|141-146

ISSN： 1633-4760

Source： EAS Publications Series, Vol.36, Iss.issue, 2009-05, pp. : 141-146

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Abstract

Many scaling relations have been observed forself-gravitating systems (SGS) in the universe. We explore a consistentunderstanding of them from a simple principle based on the proposal that thecollision-less dark matter (DM) fluid terns into a turbulent state, i.e. darkturbulence, after crossing the caustic surface in the non-linear stage.After deriving Kolmogorov scaling laws from Navier-Stokes and Jeans equations by the method used in solving the Smoluchowski coagulation equation, we apply this to severalobservations such as the scale-dependent velocity dispersion,mass-luminosity ratio, and mass-angular momentum relation. They all pointthe concordant value for the constant energy flow per mass: 0.3 cm²/s³, which may be understood as the speed of the hierarchicalcoalescence process in the cosmic structure formation.