Scaling Relations for Compressible MHD Turbulence

Astronomy and Astrophysics – Astronomy

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Scientific paper

The interstellar medium (ISM) is a highly compressible turbulent and magnetized fluid, exhibiting large density fluctuations on all observable scales. Studies of scaling relations in ISM usually neglect the contribution of magnetic field. Moreover, simplified hierarchical models applied to idealized hierarchical structures cannot explain the component of density fluctuations resulting from incompressible interactions in the presence of nonuniform density. In reality, the ISM is a mixture of compressible and incompressible motions. We study the scaling relations of density, velocity and magnetic field fluctuations in the numerical models of compressible MHD turbulence. We discuss the modification of the Kolmogorov relation for energy transfer rate to encompass the magnetized compressible turbulence. We show that the densities at low threshold and at high threshold demonstrate very different properties. These finding have important implications for formation of molecular clouds and cores, star formation and formation of small ionized and neutral structures (SINS).

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