Shell-to-shell transfer analysis in decaying MHD turbulence demonstrates direct non-local inverse energy transfer from the integral scale, resulting in multiplicative growth of large-scale magnetic energy, confined within helical sectors when net helicity is zero.
On the locality of MHD turbulence scale fluxes
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abstract
The scale locality of energy fluxes for magnetohydrodynamics (MHD) is investigated numerically for stationary states of turbulence. Two types of forces are used to drive turbulence, a kinetic force that acts only on the velocity field and a kinetic-inductive forcing mechanism, which acts on the velocity and magnetic fields alike. The analysis is performed in spectral space, which is decomposed into a series of shells following a power law for the boundaries. The triadic transfers occurring among these shells are computed and the fluxes and locality functions are recovered by partial summation over the relevant shells. Employing Kraichnan locality functions, values of 1/3 and 2/3 for the scaling exponents of the four MHD energy fluxes are found. These values are smaller compared with the value of 4/3 found for hydrodynamic turbulence. To better understand these results, an in depth analysis is performed on the total energy flux.
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Inverse energy transfer in decaying MHD turbulence: A shell-to-shell analysis
Shell-to-shell transfer analysis in decaying MHD turbulence demonstrates direct non-local inverse energy transfer from the integral scale, resulting in multiplicative growth of large-scale magnetic energy, confined within helical sectors when net helicity is zero.