Symmetries of a fluid-gyrokinetic model are investigated using Lie group techniques. Specifically, the nonlinear system constructed, 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 $$k_{\bot }\unicode[STIX]{x1D70C}_{i}$$, where $$k_{\bot }$$ is the perpendicular wave vector of the fluctuations and $$\unicode[STIX]{x1D70C}_{i}$$ 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. Here, 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.
White, R. L., et al. "Symmetries of a reduced fluid-gyrokinetic system." Journal of Plasma Physics, vol. 84, no. 2, Mar. 2018. https://doi.org/10.1017/s0022377818000247
White, R. L., Hazeltine, R. D., & Loureiro, N. F. (2018). Symmetries of a reduced fluid-gyrokinetic system. Journal of Plasma Physics, 84(2). https://doi.org/10.1017/s0022377818000247
White, R. L., Hazeltine, R. D., and Loureiro, N. F., "Symmetries of a reduced fluid-gyrokinetic system," Journal of Plasma Physics 84, no. 2 (2018), https://doi.org/10.1017/s0022377818000247
@article{osti_1785276,
author = {White, R. L. and Hazeltine, R. D. and Loureiro, N. F.},
title = {Symmetries of a reduced fluid-gyrokinetic system},
annote = {Symmetries of a fluid-gyrokinetic model are investigated using Lie group techniques. Specifically, the nonlinear system constructed, 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 $k_{\bot }\unicode[STIX]{x1D70C}_{i}$, where $k_{\bot }$ is the perpendicular wave vector of the fluctuations and $\unicode[STIX]{x1D70C}_{i}$ 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. Here, 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.},
doi = {10.1017/s0022377818000247},
url = {https://www.osti.gov/biblio/1785276},
journal = {Journal of Plasma Physics},
issn = {ISSN 0022-3778},
number = {2},
volume = {84},
place = {United States},
publisher = {Cambridge University Press},
year = {2018},
month = {03}}
USDOE Office of Science (SC), Fusion Energy Sciences (FES); Oak Ridge Institute for Science and Education (ORISE); Oak Ridge Associated Universities (ORAU)
Grant/Contract Number:
FG02-04ER54742; SC0014664; FG02-91ER54109
OSTI ID:
1785276
Alternate ID(s):
OSTI ID: 1538936 OSTI ID: 1785277
Journal Information:
Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 2 Vol. 84; ISSN 0022-3778
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118https://doi.org/10.1098/rspa.1956.0116