Turbulence with Magnetic Helicity that is Absent on Average
arXiv:2305.08769 · doi:10.3390/atmos14060932
Abstract
Magnetic helicity plays a tremendously important role when it is different from zero on average. Most notably, it leads to the phenomenon of an inverse cascade. Here, we consider decaying magnetohydrodynamic (MHD) turbulence as well as some less common examples of magnetic evolution under the Hall effect and ambipolar diffusion, as well as cases in which the magnetic field evolution is constrained by the presence of an asymmetry in the number density of chiral fermions, whose spin is systematically either aligned or anti-aligned with its momentum. In all those cases, there is a new conserved quantity: the Hosking integral. We present quantitative scaling results for the magnetic integral scale as well as the magnetic energy density and its spectrum. We also compare with cases were a magnetic version of the Saffman integral is initially finite. Rotation in MHD turbulence tends to suppress nonlinearity and thereby also inverse cascading. Finally, the role of the Hosking and magnetic Saffman integrals in shell models of turbulence is examined.
arXiv comment16 pages, 8 figures, 1 table, special issue of Atmosphere commemorating Jackson Rae Herring
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Cited by in corpus (9)
- Turbulent processes and mean-field dynamo
- Chiral magnetohydrodynamics with zero total chirality
- Inverse cascading for initial MHD turbulence spectra between Saffman and Batchelor
- Turbulent magnetic decay controlled by two conserved quantities
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