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Scaling laws in Hall inertial-range turbulence

Narita, Y., W. Baumjohann, and R. A. Treumann (2019), Scaling laws in Hall inertial-range turbulence, Annales Geophysicae, 37, 825-834, doi:angeo-37-825-2019.

There is an increasing amount of observational evidence in space plasmas
for the breakdown of inertial-range spectra
of magnetohydrodynamic (MHD) turbulence
on spatial scales smaller than the ion inertial length.
Magnetic energy spectra often exhibit a steepening,
which is reminiscent of dissipation of turbulence energy,
for example in wave-particle interactions.
Electric energy spectra, on the other hand,
tend to be flatter than those of MHD turbulence,
which is indicative of a dispersive process
converting magnetic into electric energy
in electromagnetic wave excitation.
Here we develop a model of the scaling laws and the power spectra
for the Hall-inertial range in plasma turbulence.
A phenomenological approach is taken.
The Hall electric field attains an electrostatic
component when the wave vectors are perpendicular to the mean magnetic field.
The power spectra of Hall-turbulence are steep for the magnetic field
with slope of -7/3 for compressible magnetic turbulence,
they are flatter for the Hall electric field with slope -1/3.
Our model for the Hall-turbulence serves as
a likely candidate to explain the steepening of
the magnetic energy spectra in the solar wind
neither as indication of the dissipation range
nor the dispersive range
but as the Hall-inertial range. Our model also reproduces
the shape of energy spectra in Kelvin-Helmholtz turbulence
observed at the Earth magnetopause.
  author = {Y. Narita and W. Baumjohann and R. A. Treumann},
  journal = {Annales Geophysicae},
  month = {sep},
  pages = {825-834},
  title = {{Scaling laws in Hall inertial-range turbulence}},
  volume = {37},
  year = {2019},
  doi = {angeo-37-825-2019},
%0 Journal Article
%A Narita, Y.
%A Baumjohann, W.
%A Treumann, R. A.
%D 2019
%V 37
%J Annales Geophysicae
%P 825-834
%T Scaling laws in Hall inertial-range turbulence
%8 sep
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Printed 22. Sep 2020 20:39