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Astrophysical gyrokinetics: turbulence in pressure-anisotropic plasmas at ion scales and beyond

Part of: Focus on Plasma Astrophysics Frontiers in Plasma Physics Conference

Published online by Cambridge University Press:  12 April 2018

M. W. Kunz Open the ORCID record for M. W. Kunz [Opens in a new window] ,
I. G. Abel Open the ORCID record for I. G. Abel [Opens in a new window] ,
K. G. Klein Open the ORCID record for K. G. Klein [Opens in a new window]  and
A. A. Schekochihin
M. W. Kunz*
Affiliation:
Department of Astrophysical Sciences, Princeton University, Peyton Hall, Princeton, NJ 08544, USA Princeton Plasma Physics Laboratory, PO Box 451, Princeton, NJ 08543, USA
I. G. Abel
Affiliation:
Princeton Center for Theoretical Science, Princeton University, Jadwin Hall, Princeton, NJ 08544, USA Chalmers University of Technology, 41296 Gothenburg, Sweden
K. G. Klein
Affiliation:
CLASP, University of Michigan, Space Research Building, Ann Arbor, MI 48109, USA Lunar and Planetary Laboratory, University of Arizona, Tucson, AZ 85721, USA
A. A. Schekochihin
Affiliation:
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK Merton College, Merton Street, Oxford OX1 4JD, UK
*
†Email address for correspondence: mkunz@princeton.edu
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Abstract

We present a theoretical framework for describing electromagnetic kinetic turbulence in a multi-species, magnetized, pressure-anisotropic plasma. The turbulent fluctuations are assumed to be small compared to the mean field, to be spatially anisotropic with respect to it and to have frequencies small compared to the ion cyclotron frequency. At scales above the ion-Larmor radius, the theory reduces to the pressure-anisotropic generalization of kinetic reduced magnetohydrodynamics (KRMHD) formulated by Kunz et al. (J. Plasma Phys., vol. 81, 2015, 325810501). At scales at and below the ion-Larmor radius, three main objectives are achieved. First, we analyse the linear response of the pressure-anisotropic gyrokinetic system, and show it to be a generalization of previously explored limits. The effects of pressure anisotropy on the stability and collisionless damping of Alfvénic and compressive fluctuations are highlighted, with attention paid to the spectral location and width of the frequency jump that occurs as Alfvén waves transition into kinetic Alfvén waves. Secondly, we derive and discuss a very general gyrokinetic free-energy conservation law, which captures both the KRMHD free-energy conservation at long wavelengths and dual cascades of kinetic Alfvén waves and ion entropy at sub-ion-Larmor scales. We show that non-Maxwellian features in the distribution function change the amount of phase mixing and the efficiency of magnetic stresses, and thus influence the partitioning of free energy amongst the cascade channels. Thirdly, a simple model is used to show that pressure anisotropy, even within the bounds imposed on it by firehose and mirror instabilities, can cause order-of-magnitude variations in the ion-to-electron heating ratio due to the dissipation of Alfvénic turbulence. Our theory provides a foundation for determining how pressure anisotropy affects turbulent fluctuation spectra, the differential heating of particle species and the ratio of parallel and perpendicular phase mixing in space and astrophysical plasmas.

Keywords

astrophysical plasmas
Type
Research Article
Information
Journal of Plasma Physics , Volume 84 , Issue 2 , April 2018 , 715840201
Copyright
© Cambridge University Press 2018 

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