Symmetries of a reduced fluid-gyrokinetic system
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 $$k_{\bot }\unicode[STIX]{x1D70C}_{i}$$, 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. 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.
- Authors:
-
[1];
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); Oak Ridge Institute for Science and Education (ORISE); Oak Ridge Associated Universities (ORAU)
- OSTI Identifier:
- 1785276
- Alternate Identifier(s):
- OSTI ID: 1785277
- Grant/Contract Number:
- FG02-04ER54742; SC0014664; FG02-91ER54109
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Plasma Physics
- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 2; Journal ID: ISSN 0022-3778
- Publisher:
- Cambridge University Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma nonlinear phenomena; plasma properties
Citation Formats
White, R. L., Hazeltine, R. D., and Loureiro, N. F. Symmetries of a reduced fluid-gyrokinetic system. United States: N. p., 2018.
Web. doi:10.1017/s0022377818000247.
White, R. L., Hazeltine, R. D., & Loureiro, N. F. Symmetries of a reduced fluid-gyrokinetic system. United States. https://doi.org/10.1017/s0022377818000247
White, R. L., Hazeltine, R. D., and Loureiro, N. F. Wed .
"Symmetries of a reduced fluid-gyrokinetic system". United States. https://doi.org/10.1017/s0022377818000247. https://www.osti.gov/servlets/purl/1785276.
@article{osti_1785276,
title = {Symmetries of a reduced fluid-gyrokinetic system},
author = {White, R. L. and Hazeltine, R. D. and Loureiro, N. F.},
abstractNote = {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 $k_{\bot }\unicode[STIX]{x1D70C}_{i}$, 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. 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},
journal = {Journal of Plasma Physics},
number = 2,
volume = 84,
place = {United States},
year = {Wed Mar 21 00:00:00 EDT 2018},
month = {Wed Mar 21 00:00:00 EDT 2018}
}
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