Dependence of MHD turbulence spectra on the velocity field-magnetic field correlation

Astronomy and Astrophysics – Astrophysics

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Correlation Coefficients, Energy Spectra, Magnetohydrodynamic Turbulence, Solar Magnetic Field, Solar Wind Velocity, Magnetohydrodynamic Waves

Scientific paper

Steady-state MHD turbulence with nonzero velocity (v) and magnetic field (b) correlation is investigated using two-point turbulence closure and phenomenological arguments. It is determined that equilibrium spectra have power-laws which may significantly depart from the 3/2 law derived by Kraichnan (1965) for the uncorrelated case. This difference is shown to derive from the broken symmetry between the two fields z(+ or -) = v + or - b when the correlation is non zero. It is shown that, for strong correlations, the spectral index for the total energy spectrum may lie anywhere between 3/2 and 3, depending on the correlation level whose maximum is determined by the molecular dissipation coefficients.

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