Nonlinear saturation of collisionless trapped particle instability in tandem mirrors

Journal Article · Wed Jun 01 04:00:00 EDT 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866706· OSTI ID:5181989

Kim, S Y; Sen, A K

A collisionless trapped particle instability with magnetohydrodynamiclike growth rate is expected in tandem mirrors. To study its nonlinear state, a two-dimensional polarization drift nonlinearity in a cylindrical geometry is considered. Using three-wave nonresonant mode coupling of radially nonlocal eigenfunctions, two-mode coupling equations for the unstable fundamental and stable first-order radial harmonics are derived. The solution of mode-coupled equations yields the nonlinear saturation level. Mode coupling to the damped higher-order radial harmonics is the principal saturation mechanism of the unstable fundamental radial harmonic.

• Research Organization: Plasma Research Laboratory, Columbia University, New York, New York 10027
• OSTI ID: 5181989
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:6; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
COLLISIONLESS PLASMA
CONFIGURATION
COUPLING
CYLINDRICAL CONFIGURATION
DAMPING
EIGENFUNCTIONS
ELECTRICAL PROPERTIES
ELECTRON DRIFT
EQUATIONS
FLUID MECHANICS
FUNCTIONS
HARMONICS
HYDRODYNAMICS
INSTABILITY
INSTABILITY GROWTH RATES
MAGNETIC MIRRORS
MAGNETOHYDRODYNAMICS
MECHANICS
NONLINEAR PROBLEMS
OPEN PLASMA DEVICES
OSCILLATION MODES
OSCILLATIONS
PHYSICAL PROPERTIES
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
POLARIZABILITY
SATURATION
TANDEM MIRRORS
THERMONUCLEAR DEVICES
TRAPPED-PARTICLE INSTABILITY
TWO-DIMENSIONAL CALCULATIONS