Generalized Kaufman-Stenflo Equations for Collisional Magnetoplasmas

Abstract

The Kaufman-Sten£o equations for nonlinearity coupled upper-hybrid (UH) and magnetosonic waves are generalized for the multi-dimensional wave propagation case in collisional magnetoplasmas. Thus, a twodimensional envelope equation for the UH waves, and three-coupled equations for magnetosonic waves are derived, by taking into account the combined e¡ects of the UH ponderomotive force and the UH wave Joule heating of the electrons. The newly derived mode coupling equations are then used to derive a general dispersion that is appropriate for studying the parametric instabilities in collisional magnetoplasmas. The relevance of our investigation to low-temperature laboratory and space plasmas is pointed out.

Stability of electron wave spectra in weakly magnetized plasmas

“…These effects have been considered by Pécseli et al. (1986), Faria & Shukla (1999), Shukla & Farid (1999) and Shukla, Eliasson & Stenflo (2003), for instance. Collisional effects have at times been used to ‘mimic’ the effect of ion Landau damping.…”

“…Collisional effects can be important for the ion dynamics in some laboratory experiments and also in the ionospheric E-region. These effects have been considered by Pécseli et al (1986), Faria & Shukla (1999), Shukla & Farid (1999) and Shukla, Eliasson & Stenflo (2003), for instance. Collisional effects have at times been used to 'mimic' the effect of ion Landau damping.…”

“…The new feature will here be an account for a systematic transition from a single mode to multi-wave modes, with a continuous broad wave spectrum being a limiting case. The assumption of weak magnetic fields will be essential for the dispersion of the waves, where it is known that when ω ce > ω pe / √ 3, kinetic effects give rise to a change in the curvature of the dispersion relation at small wavenumbers (Kaufman & Stenflo 1975;Dysthe et al 1984;Faria & Shukla 1999) as compared to the standard fluid result. Strong magnetic fields thus necessitate a kinetic rather than a fluid model for the wave dynamics, although some simplifications can be obtained also for the kinetic model so that it can be incorporated into fluid models (Dysthe et al 1984).…”