HYDROMAGNETIC EQUILIBRIA IN A TOROID FROM THE PARTICLE POINT OF VIEW

Journal Article · Wed Mar 01 04:00:00 EST 1961 · Physics of Fluids (U.S.)

DOI:https://doi.org/10.1063/1.1706326· OSTI ID:4065005

Kulsrud, R M

Hydromagnetic equllibria were considered as being timeindependent solutions of the Boltzmann equations and Maxwell's equations. Ths shont-range collisions were neglected, and the magnetic field was taken large enough to make the small gyration radius low-frequency expansion of the equations by Chew, Goldberger, and Low (unpublished work) applicable. The equilibria are discussed only to lowest order in this scheme and in geometries topologically equivalenntt to a torus. In particular, magnetic surfaces are show to exist. A set of invariants for slow motions of the system was determined. These invariants were used as constraints in a variational principle which states that subject to these constraints an arbitrary configuration inakes energy stationary if, and only if, it is an equilibrium state. The case of equilibria with trapped particles was treated separately. It is proposed that the values of these invariants serve to characterize toroidal hydromagnetic equilibria. (auth)

• Research Organization: Princeton Univ., N.J.
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-013846
• OSTI ID: 4065005
• Journal Information: Physics of Fluids (U.S.), Journal Name: Physics of Fluids (U.S.) Vol. Vol: 4; ISSN PFLDA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOLTZMANN EQUATION
CHEW-LOW METHOD
CONFIGURATION
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETISM
ENERGY
EQUILIBRIUM
FLUID FLOW
GYROFREQUENCY
INTERACTIONS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
MAXWELL EQUATIONS
MOTION
PHYSICS
SURFACES
TORUS
TRANSPORT THEORY
VARIATIONAL METHOD
VARIATIONAL PRINCIPLE
VELOCITY