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The validity of the extended energy principle

Authors: Chance, M. S.; Johnson, J. L.; Kulsrud, R. M.;

The validity of the extended energy principle

Abstract

A recent analysis of plasma stability based on modifications of the extended energy principle for magnetohydrodynamic stability led to conclusions that are too optimistic. The original interpretation of this principle is indeed applicable. The present analysis demonstrates explicitly the fallacy of using the wrong functional for {delta}W in the extended energy principle. It then shows that the original energy principle functional {delta}W{sub B} is also obtained for a model in which a surface mass is incorporated to provide pressure balance. This work therefore indicates, but does not prove, that the eigenfunctions that are obtained from a minimization of the extended energy principle with the proper kinetic energy norm provide a good representation of what would be achieved with an exact treatment.

Country
United States
Related Organizations
Keywords

Mhd Equilibrium, Plasma, Plasma Fluid And Mhd Properties, Functionals 700370, 70 Plasma Physics And Fusion Technology, Stability, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average