Dual cascade of kinetic and magnetic energy in MHD turbulence

Physics – Plasma Physics

Scientific paper

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[2149] Interplanetary Physics / Mhd Waves And Turbulence, [2164] Interplanetary Physics / Solar Wind Plasma, [4445] Nonlinear Geophysics / Nonlinear Differential Equations, [7863] Space Plasma Physics / Turbulence

Scientific paper

Using scale-locality of the energy cascade in MHD turbulence, which we have rigorously proved to hold in [1], we show that the kinetic and magnetic energy budgets statistically decouple beyond an intermediate ``conversion'' range. Over the ensuing part of the inertial range, mean kinetic and magnetic energies cascade to smaller scales independently. In other words, we show that magnetic-line stretching acts as a large-scale forcing of the magnetic field which vanishes, on average, deep in the inertial range. We present numerical support from 10243 direct numerical simulations. We draw analogies to such a phenomenon from compressible turbulence and geophysical flows and discuss its possible implications on MHD turbulence theory and simulations. [1] Aluie, H., Eyink, G. L., Phys. Rev. Lett., 104, 8, 081101 (2010)

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