MHD equilibrium variational principles with symmetry

被引：39

作者：

Andreussi, T. ^{[1
]}

Morrison, P. J. ^{[2
,3
]}

Pegoraro, F. ^{[4
,5
]}

机构：

[1] Univ Pisa, Dipartimento Ingn Aerosp L Lazzarino, Pisa, Italy

[2] Univ Texas Austin, Dept Phys, Austin, TX 78712 USA

[3] Univ Texas Austin, Inst Fus Studies, Austin, TX 78712 USA

[4] Dipartimento Fis E Fermi, Pisa, Italy

[5] CNISM, Pisa, Italy

来源：

PLASMA PHYSICS AND CONTROLLED FUSION | 2010年 / 52卷 / 05期

关键词：

HYDROMAGNETIC EQUILIBRIUM; STABILITY; PLASMA; RELAXATION; FLUID; HYDRODYNAMICS; FORMULATION; FLOWS;

D O I：

10.1088/0741-3335/52/5/055001

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The chain rule for functionals is used to reduce the noncanonical Poisson bracket for magnetohydrodynamics (MHD) to one for axisymmetric and translationally symmetric MHD and hydrodynamics. The procedure for obtaining Casimir invariants from noncanonical Poisson brackets is reviewed and then used to obtain the Casimir invariants for the considered symmetrical theories. It is shown why extrema of the energy plus Casimir invariants correspond to equilibria, thereby giving an explanation for the ad hoc variational principles that have existed in plasma physics. Variational principles for general equilibria are obtained in this way.

引用

页数：22

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