Conservation of circulation in magnetohydrodynamics

被引：30

作者：

Bekenstein, JD ^{[1
]}

Oron, A ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 04期

关键词：

Current density - Degrees of freedom (mechanics) - Enthalpy - Entropy - Equations of motion - Gibbs free energy - Lagrange multipliers - Magnetic fields - Mathematical models - Maxwell equations - Vortex flow;

D O I：

10.1103/PhysRevE.62.5594

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：

We demonstrate at both the Newtonian and (general) relativistic levels the existence of a generalization of Kelvin's circulation theorem (for pure fluids) that is applicable to perfect magnetohydrodynamics. The argument is based on the least action principle for magnetohydrodynamic flow. Examples of the new conservation law are furnished. The new theorem should be helpful in identifying new kinds of vortex phenomena distinct from magnetic ropes or fluid vortices.

引用

页码：5594 / 5602

页数：9

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