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On exact laws in incompressible Hall magnetohydrodynamic turbulence | | Renaud Ferrand
; Sébastien Galtier
; Fouad Sahraoui
; Romain Meyrand
; Nahuel Andrés
; Supratik Banerjee
; | | Date: |
10 May 2019 | | Abstract: | A comparison is made between several existing exact laws in incompressible
Hall magnetohydrodynamic (IHMHD) turbulence in order to show their equivalence,
despite stemming from different mathematical derivations. Using statistical
homogeneity, we revisit the law proposed by Hellinger et al. (2018) and show
that it can be written, after being corrected by a multiplicative factor, in a
more compact form implying only flux terms expressed as increments of the
turbulent fields. The Hall contribution of this law is tested and compared to
other exact laws derived by Galtier (2008) and Banerjee & Galtier (2017) using
direct numerical simulations (DNSs) of three-dimensional electron MHD (EMHD)
turbulence with a moderate mean magnetic field. We show that the studied laws
are equivalent in the inertial range, thereby offering several choices on the
formulation to use depending on the needs. The expressions that depend
explicitly on a mean (guide) field may lead to residual errors in estimating
the energy cascade rate ; however, we demonstrate that this guide field can be
removed from these laws after mathematical manipulation. Therefore, it is
recommended to use an expression independent of the mean guide field to analyze
numerical or in-situ spacecraft data. | | Source: | arXiv, 1905.6110 | | Services: | Forum | Review | PDF | Favorites | |
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