Noether derivation of exact conservation laws for dissipationless reduced-fluid models

Brizard, A J

doi:10.1063/1.3515303

Title: Noether derivation of exact conservation laws for dissipationless reduced-fluid models

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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 nonvanishing reduced intrinsic torque that can drive spontaneous toroidal rotation in axisymmetric tokamak plasmas.

Authors:

Brizard, A J ^[1]

Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)

Publication Date:: Mon Nov 15 00:00:00 EST 2010

OSTI Identifier:: 21531979

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 17; Journal Issue: 11; Other Information: DOI: 10.1063/1.3515303; (c) 2010 American Institute of Physics; Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASYMMETRY; CONSERVATION LAWS; ENERGY-MOMENTUM TENSOR; MAGNETIZATION; MAGNETOHYDRODYNAMICS; MINKOWSKI SPACE; PLASMA SIMULATION; POLARIZATION; TOKAMAK DEVICES; VARIATIONAL METHODS; CALCULATION METHODS; CLOSED PLASMA DEVICES; FLUID MECHANICS; HYDRODYNAMICS; MATHEMATICAL SPACE; MECHANICS; SIMULATION; SPACE; TENSORS; THERMONUCLEAR DEVICES

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                    Brizard, A J. Noether derivation of exact conservation laws for dissipationless reduced-fluid models.  United States: N. p., 2010. 
        Web.  doi:10.1063/1.3515303.

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                    Brizard, A J. Noether derivation of exact conservation laws for dissipationless reduced-fluid models.  United States.  https://doi.org/10.1063/1.3515303

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                    Brizard, A J. 2010.  
        "Noether derivation of exact conservation laws for dissipationless reduced-fluid models".  United States.  https://doi.org/10.1063/1.3515303.

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@article{osti_21531979,

  title        = {Noether derivation of exact conservation laws for dissipationless reduced-fluid models},

  author       = {Brizard, A J},

  abstractNote = {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 nonvanishing reduced intrinsic torque that can drive spontaneous toroidal rotation in axisymmetric tokamak plasmas.},

  doi          = {10.1063/1.3515303},

  url          = {https://www.osti.gov/biblio/21531979},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 11,

  volume       = 17,

  place        = {United States},

  year         = {Mon Nov 15 00:00:00 EST 2010},

  month        = {Mon Nov 15 00:00:00 EST 2010}

}

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