Symmetries of a reduced fluid-gyrokinetic system

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

doi:10.7910/DVN/9HF5L0

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 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.

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

Publication Date:: 2018-11-01

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

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; Univ. of Texas, Austin, TX (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

OSTI Identifier:: 1880273

DOI:: https://doi.org/10.7910/DVN/9HF5L0

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:10.7910/DVN/9HF5L0.

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                    White, R. L., Hazeltine, R. D., & Loureiro, N. F. Symmetries of a reduced fluid-gyrokinetic system.  United States.  doi:https://doi.org/10.7910/DVN/9HF5L0

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                    White, R. L., Hazeltine, R. D., and Loureiro, N. F. 2018.  
"Symmetries of a reduced fluid-gyrokinetic system".  United States.  doi:https://doi.org/10.7910/DVN/9HF5L0.  https://www.osti.gov/servlets/purl/1880273. Pub date:Thu Nov 01 00:00:00 EDT 2018

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@article{osti_1880273,

  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 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.},

  doi          = {10.7910/DVN/9HF5L0},

  journal      = {},

  number       = ,

  volume       = ,

  place        = {United States},

  year         = {2018},

  month        = {11}

}

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