Stability of drift-wave modons in the presence of temperature gradients

Technical Report · Wed May 01 04:00:00 EDT 1991

OSTI ID:5651756

Jovanovic, D ^[1]; Horton, W ^[2]

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1. Belgrade Univ. (Yugoslavia). Inst. za Fiziku
2. Texas Univ., Austin, TX (USA). Inst. for Fusion Studies

In the homogeneous Hasegawa-Mima equation the dipole vortex or modon solution is well known to be robustly stable from both analytic and numerical studies. In the inhomogeneous plasma where {nabla}T{sub {epsilon}} {ne} 0 the corresponding vortex has an external structure extending into the high temperature region. Lyapunov stability method is used to determine the stability properties of these extended vortex structures. Negative value of the Lyapunov functional, as a measure of the instability, is shown to be bounded by (R/L{sub {tau}}){sup 2} where R is the radius of the core of vortex and L{sub {tau}} is scale length of the temperature gradient. 21 refs.

• Research Organization: Texas Univ., Austin, TX (USA). Inst. for Fusion Studies
• Sponsoring Organization: DOE; USDOE, Washington, DC (USA)
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 5651756
• Report Number(s): DOE/ET/53088-480-Rev.; IFSR--480-Rev.; ON: DE91014364; CNN: JF944
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
700108 -- Fusion Energy-- Plasma Research-- Wave Phenomena
DAMPING
DIFFERENTIAL EQUATIONS
EQUATIONS
INHOMOGENEOUS PLASMA
INSTABILITY
LANDAU DAMPING
LYAPUNOV METHOD
MAGNETIC FLUX
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA INSTABILITY
PLASMA WAVES
TEMPERATURE GRADIENTS
WAVE EQUATIONS