| Autors: Donkov, S. D., Stefanov, I. S., Veltchev, T. V., Klessen, R. S. Title: Density distribution function of a self-gravitating isothermal turbulent fluid in the context of molecular cloud ensembles – III. Virial analysis Keywords: methods: analytical, methods: statistical, ISM: clouds, ISM: Abstract: In this work, we apply virial analysis to the model of self-gravitating turbulent cloud ensembles introduced by Donkov & Stefanov in two previous papers, clarifying some aspects of turbulence and extending the model to account not only for supersonic flows but for trans- and subsonic ones as well. Making use of the Eulerian virial theorem at an arbitrary scale, far from the cloud core, we derive an equation for the density profile and solve it in approximate way. The result confirms the solution ϱ(ℓ) = ℓ−2 found in the previous papers. This solution corresponds to three possible configurations for the energy balance. For trans- or subsonic flows, we obtain a balance between the gravitational and thermal energy (Case 1) or between the gravitational, turbulent, and thermal energies (Case 2) while for supersonic flows, the possible balance is between the gravitational and turbulent energy (Case 3). References Issue
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