Publication

Quasi-two-dimensional waves in three-dimensional magnetic confinement systems

Wilfred Anthony Cooper
1998
Journal Articles

Abstract

A reduced scalar magnetohydrodynamic (MHD) description for linear perturbations of arbitrary aspect-ratio, fully three-dimensional plasma configurations is derived for perturbations with short scale-length perpendicular to the magnetic field. The application of the scalar wave equation to ballooning modes is presented. It is shown that coexistence of toroidally extended and toroidally localized unstable ideal hydromagnetic ballooning modes occurs in an interchange-unstable equilibrium case modelling the Large Helical Device (LHD) with a broad pressure profile. The toroidally extended modes can be understood on the basis of a ripple-averaged ballooning equation, whereas the toroidally localized branch corresponds to modes localized along a flux tube. A new three-dimensional ray phase space is introduced in which the periodicity properties are simplified.

Official source

https://infoscience.epfl.ch/entities/publication/e20c081e-24cb-4821-8681-f22b2a2712a5

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Wilfred Anthony Cooper
1998
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/e20c081e-24cb-4821-8681-f22b2a2712a5

About this result

Related concepts (32)

Plasma stability

The stability of a plasma is an important consideration in the study of plasma physics. When a system containing a plasma is at equilibrium, it is possible for certain parts of the plasma to be disturbed by small perturbative forces acting on it. The stability of the system determines if the perturbations will grow, oscillate, or be damped out. In many cases, a plasma can be treated as a fluid and its stability analyzed with magnetohydrodynamics (MHD).

Magnetohydrodynamics

Magnetohydrodynamics (MHD; also called magneto-fluid dynamics or hydromagnetics) is a model of electrically conducting fluids that treats all interpenetrating particle species together as a single continuous medium. It is primarily concerned with the low-frequency, large-scale, magnetic behavior in plasmas and liquid metals and has applications in numerous fields including geophysics, astrophysics, and engineering. The word magnetohydrodynamics is derived from magneto- meaning magnetic field, hydro- meaning water, and dynamics meaning movement.

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

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Quasi-two-dimensional waves in three-dimensional magnetic confinement systems

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