Ideal MHD turbulence: The inertial range spectrum with collisionless dissipation

The inertial range spectrum of ideal (collisionless/dissipationless) MHD turbulence is analysed in view of the transition from the large-scale Iroshnikov-Kraichnan-like (IK) to the meso-scale Kolmogorov (K) range under the assumption that the ultimate dissipation which terminates the Kolmogorov range is provided by collisionless reconnection in thin turbulence-generated current sheets. Kolmogorov's dissipation scale is identified with the electron inertial scale, as suggested by collisionless particle-in-cell simulations of reconnection. Transition between the IK- and K-ranges occurs at the ion inertial length allowing determination of the IK-coefficient. With the electron inertial scale the K-dissipation scale, stationarity of the spectrum implies a relation between the energy injection and dissipation rates. Application to solar wind is critically discussed.

@article{id2058,
  author = {Treumann, R. A. and Baumjohann, W. and Narita, Y.},
  doi = {10.3389/fphy.2015.00022},
  journal = {Frontiers in Physics, Space Physics},
  language = {en},
  note = {6 pages, 1 figure, OPEN ACCESS},
  number = {4},
  pages = {00022},
  title = {Ideal MHD turbulence: The inertial range spectrum with collisionless dissipation},
  volume = {3},
  year = {2015},
}

%O Journal Article
%A Treumann, R. A.
%A Baumjohann, W.
%A Narita, Y.
%R 10.3389/fphy.2015.00022
%J Frontiers in Physics, Space Physics
%G en
%O 6 pages, 1 figure, OPEN ACCESS
%N 4
%P 00022
%T Ideal MHD turbulence: The inertial range spectrum with collisionless dissipation
%V 3
%D 2015