Kolmogorov-Burgers Model for Star Forming Turbulence

Details Kolmogorov-Burgers Model for Star Forming Turbulence Kolmogorov-Burgers Model for Star Forming Turbulence

2001-08-18

arxiv.org/abs/astro-ph/0108300v2

ApJ 569(2), 841 (2002)

Astronomy and Astrophysics

Astrophysics

revised, new material added, 8 pages

Scientific paper

10.1086/339403

The process of star formation in interstellar molecular clouds is believed to be controlled by driven supersonic magnetohydrodynamic turbulence. We suggest that in the inertial range such turbulence obeys the Kolmogorov law, while in the dissipative range it behaves as Burgers turbulence developing shock singularities. On the base of the She-Leveque analytical model we then predict the velocity power spectrum in the inertial range to be E_k ~ k^{-1.74}. This result reproduces the observational Larson law, ~ l^{0.74...0.76}, [Larson, MNRAS 194 (1981) 809] and agrees well with recent numerical findings by Padoan and Nordlund [astro-ph/0011465]. The application of the model to more general dissipative structures, with higher fractal dimensionality, leads to better agreement with recent observational results.

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