Symmetries of a reduced fluid-gyrokinetic system
- OSTI
Symmetries of a fluid-gyrokinetic model are investigated using Lie group techniques. Specifically the nonlinear system constructed by Zocco and Schekochihin (Zocco & Schekochihin 2011), 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 $$k_{\bot \rho I}$$ where $$k_\bot$$ is the perpendicular wave vector of the fluctuations and $$\rho I}$$ is 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.
- Research Organization:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; Univ. of Texas, Austin, TX (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- DOE Contract Number:
- FG02-91ER54109; FG02-04ER54742; SC0014664
- OSTI ID:
- 1880273
- Country of Publication:
- United States
- Language:
- English
Symmetries of a reduced fluid-gyrokinetic system
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journal | March 2018 |
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Symmetries of a reduced fluid-gyrokinetic system