Noether derivation of exact conservation laws for dissipationless reduced-fluid models
Plasma Physics
2015-05-20 v1
Abstract
The energy-momentum conservation laws for general reduced-fluid (e.g., gyrofluid) models are derived by Noether method from a general reduced variational principle. The reduced canonical energy-momentum tensor (which is explicitly asymmetric and has the Minkowski form) exhibits polarization and magnetization effects associated with dynamical reduction. In particular, the asymmetry in the reduced canonical momentum-stress tensor produces a non-vanishing reduced intrinsic torque that can drive spontaneous toroidal rotation in axisymmetric tokamak plasmas.
Keywords
Cite
@article{arxiv.1009.4611,
title = {Noether derivation of exact conservation laws for dissipationless reduced-fluid models},
author = {Alain J. Brizard},
journal= {arXiv preprint arXiv:1009.4611},
year = {2015}
}
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12 pages