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Title: 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:
ORCiD logo; ;
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Oak Ridge Associated Univ., Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1538936
DOE Contract Number:  
FG02-04ER54742; FG02-91ER54109; SC0014664
Resource Type:
Journal Article
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:
Physics

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. doi:10.1017/s0022377818000247.
White, R. L., Hazeltine, R. D., and Loureiro, N. F. Wed . "Symmetries of a reduced fluid-gyrokinetic system". United States. doi:10.1017/s0022377818000247.
@article{osti_1538936,
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},
issn = {0022-3778},
number = 2,
volume = 84,
place = {United States},
year = {2018},
month = {3}
}