Residual Energy in Weak and Strong MHD Turbulence

Details Residual Energy in Weak and Strong MHD Turbulence Residual Energy in Weak and Strong MHD Turbulence

2012-02-15

arxiv.org/abs/1202.3453v1

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

To appear in ASP Conference Series, 6th International Conference of Numerical Modeling of Space Plasma Flows (2011), Nikolai V

Scientific paper

Recent numerical and observational studies revealed that spectra of magnetic and velocity fluctuations in MHD turbulence have different scaling indexes. This intriguing feature has been recently explained in the case of weak MHD turbulence, that is, turbulence consisting of weakly interacting Alfven waves. However, astrophysical turbulence is strong in majority of cases. In the present work, we propose a unifying picture that allows one to address weak and strong MHD turbulence on the same footing. We argue that magnetic and kinetic energies are different in both weak and strong MHD turbulence. Their difference, the so-called residual energy, is spontaneously generated by turbulence, it has the Fourier spectrum E_r(k)=E_v(k)-E_b(k) \propto -f_w(k_||/k_perp) k_perp^{-2} in weak turbulence, and E_r(k) \propto -f_s(k_||/k_perp) k_perp^{-3} in strong turbulence. Here f_w,s(x) are functions declining fast for x>C_w,s and not significantly varying for $x

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