Symmetries of a reduced fluid-gyrokinetic system
Name
1712.01069.pdf
Description
Submitted version
Size
672.24 KB
Format
Adobe PDF
Checksum (MD5)
44634295a110a9136433c118e78a79eb
Author(s)
White, Ryan Lee
Hazeltine, R.D.
Gomes Loureiro, Nuno F
Date Issued
March 2018
Journal
Journal of plasma physics
Publisher
Cambridge University Press (CUP)
Citation
White, R.L., Hazeltine, R.D.. and Loureiro, N.F. "Symmetries of a reduced fluid-gyrokinetic system." Journal of Plasma Physics 84:2 (March 2018): 905840204 ©2018 Author(s)
Version
Original manuscript
Abstract
Symmetries of a fluid-gyrokinetic model are investigated using Lie group techniques. Specifically, the nonlinear system constructed by Zocco & Schekochihin (Phys. Plasmas, vol. 18, 2011, 102309), which combines nonlinear fluid equations with a drift-kinetic description of parallel electron dynamics, is studied. Significantly, this model is fully gyrokinetic, allowing for arbitrary kρi, where k is the perpendicular wave vector of the fluctuations and ρi the ion gyroradius. The model includes integral operators corresponding to gyroaveraging as well as the moment equations relating fluid variables to the kinetic distribution function. A large variety of exact symmetries is uncovered, some of which have unexpected form. Using these results, new nonlinear solutions are constructed, including a helical generalization of the Chapman-Kendall solution for a collapsing current sheet.
MIT Department
Massachusetts Institute of Technology. Plasma Science and Fusion Center
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1017/S0022377818000247
