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

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3515303· OSTI ID:21531979

Brizard, A J ^[1]

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

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.

• OSTI ID: 21531979
• Journal Information: Physics of Plasmas, Vol. 17, Issue 11; Other Information: DOI: 10.1063/1.3515303; (c) 2010 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

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