Turbulent magnetic fields.

Astronomy and Astrophysics – Astrophysics

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Intergalactic Media, Interstellar Magnetic Fields, Interstellar Matter, Magnetohydrodynamic Turbulence, Solar Magnetic Field, Cross Correlation, Field Strength, Formalism, Molecular Clouds, Stochastic Processes, Tensors

Scientific paper

This paper gives a discussion of turbulent magnetic fields in terms of two-point, second- and third-order ensemble averaged correlations. This approach avoids some of the limitations and shortcomings of mean-field magnetohydrodynamics and is similar to the treatment of Chandrasekhar (1955, 1957) except that self-similar closure techniques are utilized. This treatment of turbulent magnetic fields is analogous to an earlier treatment of velocity fields (Henriksen, 1988). The turbulence is assumed to be hierarchical (quantities on a given scale are renormalized averages over smaller scales) but to be locally homogeneous, isotropic, and mirror symmetric. The correlations are shown to obey a simple differential equation. Exact solutions are given when the resistivity may be taken constant and uniform, and an application to the granular magnetic fields of the quiet sun is suggested. For molecular cloud turbulence, some solutions are found for the second-order magnetic field correlation.

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