Trapped electron instability in tokamaks: Analytic solution of the two-dimensional eigenvalue problem

Journal Article · Tue Aug 01 04:00:00 EDT 1978 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862380· OSTI ID:6927512

Catto, P J; Tsang, K T

The two-dimensional eigenvalue equation for the trapped electron instability in tokamaks is solved analytically by both a perturbation technique and a more exact method of matched asymptotic expansions. The important physical effect is shown to be the radial localization of the trapped electron term caused by the difference between the pitch of the magnetic field and that of the mode. This localization results in a completely new form for the dispersion relation and does not impede magnetic shear stabilization. Coupling of neighboring rational surfaces is shown to result in an increase of only ..pi../2 (at most) in the growth rate.

• Research Organization: Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, New York 14627
• OSTI ID: 6927512
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 21:8; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700107 -- Fusion Energy-- Plasma Research-- Instabilities
ANALYTICAL SOLUTION
CLOSED PLASMA DEVICES
DISPERSION RELATIONS
EIGENVALUES
INSTABILITY
INSTABILITY GROWTH RATES
MAGNETIC FIELDS
PERTURBATION THEORY
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRAPPED-PARTICLE INSTABILITY
TWO-DIMENSIONAL CALCULATIONS