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Exact Energy Conservation Laws for Full and Truncated Nonlinear Gyrokinetic Equations

Plasma Physics 2015-05-13 v2

Abstract

The exact global energy conservation laws for the full-ff and δf\delta f formulations of the nonlinear electromagnetic gyrokinetic equations in general magnetic geometry are presented. In both formulations, the relation between polarization and magnetization effects in the gyrokinetic Poisson and Amp\`{e}re equations and the quadratic ponderomotive gyrocenter Hamiltonian is emphasized.

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Cite

@article{arxiv.0906.4287,
  title  = {Exact Energy Conservation Laws for Full and Truncated Nonlinear Gyrokinetic Equations},
  author = {Alain J. Brizard},
  journal= {arXiv preprint arXiv:0906.4287},
  year   = {2015}
}

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15 pages