Analytical forms of correlation functions and length scales of astrophysical turbulence

Astronomy and Astrophysics – Astrophysics

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Scientific paper

In this article correlation-functions, correlation-scales, and field line diffusion coefficients of magnetic turbulence are discussed. For the slab turbulence model these parameters are calculated analytically for different forms of the wave-spectrum of the magnetic fluctuations. It is also demonstrated in this article that the definition of the correlation-length used previously yields infinity in some cases. Furthermore, correlation-functions and correlation-scales are calculated analytically for the well-established slab/2D composite model. It is demonstrated that the 2D correlation function decays much slower than the slab correlation function. These results are essential for understanding previous theoretical results of superdiffusive field line random walk and very recent spacecraft measurements of magnetic correlations in the solar wind.

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