Is the Kolmogoroff model applicable to large-scale turbulence?

Statistics – Computation

Scientific paper

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Astronomical Models, Kolmogoroff Theory, Molecular Clouds, Plasma Turbulence, Stellar Models, Turbulence Models, Computational Astrophysics, Convective Flow, Flux (Rate)

Scientific paper

In view of the present discussion, the Heisenberg-Kolmogoroff (HK) model of turbulence that is often used for turbulent phenomena on all scales is actually valid for a turbulent spectrum wavelength band typically much smaller than the size of the system, and cannot describe phenomena at large scales in astrophysical systems. The results of mixing length theory cannot be accommodated within the HK model's framework without the adoption of an unreasonable coupling constant. It is also noted that the use of the observed velocity-size relationship in molecular clouds with turbulent velocity values of about l to the 1/2-power, within the HK model, gives rise to a growth rate that does not correspond to any known physical processes suspected of operating in molecular clouds.

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