Symmetries of a reduced fluid-gyrokinetic system

White, R. L.; Hazeltine, R. D.; Loureiro, N. F.

doi:10.1017/s0022377818000247

Symmetries of a reduced fluid-gyrokinetic system

Journal Article · 21 March 2018 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s0022377818000247· OSTI ID:1538936

; Hazeltine, R. D.; Loureiro, N. F.

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.

Research Organization:: 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 Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-04ER54742; FG02-91ER54109; SC0014664

OSTI ID:: 1538936

Journal Information:: Journal of Plasma Physics, Vol. 84, Issue 2; ISSN 0022-3778

Publisher:: Cambridge University Press

Country of Publication:: United States

Language:: English

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