EQUILIBRIUM AND STABILITY OF HELICAL HYDROMAGNETIC SYSTEMS

Journal Article · Sat Sep 01 04:00:00 EDT 1962 · Physics of Fluids (U.S.)

DOI:https://doi.org/10.1063/1.1724474· OSTI ID:4772902

Greene, J M; Johnson, J L; Kruskal, M D; Wilets, L

A formalism for representing helicaliy invariant hydromagnetic systems is introduced. Such systems are the most general two-dimensional configurations in threedimensional space, since they include translation-invariant and rotation- invariant configurations as special cases. Expressions for the magnetic field and, when the system is in equilibrium, the current are given in terms of an appropriate nonorthogonal coordinate system. An energy integral is given which forms the basis of a numerical relaxation procedure for obtaining equilibria. The relationship between this formalism and that in which the equilibrium problem is reduced to solving a partial differential equation for the stream function is established. The necessary and sufficient condition for the stability of helically invariant systems with respect to localized displacements is obtained. (auth)

• Research Organization: Princeton Univ., N.J.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-004199
• OSTI ID: 4772902
• Journal Information: Physics of Fluids (U.S.), Journal Name: Physics of Fluids (U.S.) Vol. Vol: 5; ISSN PFLDA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
CURRENTS
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FLUID FLOW
MAGNETOHYDRODYNAMICS
MATHEMATICS
MOTION
NUMERICALS
PERTURBATION THEORY
PHYSICS
ROTATION
SLOWDOWN
STABILITY