Weakly nonlinear electron plasma waves in collisional plasmas

Abstract

The nonlinear evolution of a high frequency plasma wave in a weakly magnetized. collisional plasma is considered. In addition to the ponderomotive-force-nonlinearity the nonlinearity due to the heating of the electrons is taken into account. A set of nonlinear equations including the effec: of a constantly maintained pump wave is derived and a general dispersion relation describing the modulation of the high frequency wave due to different low frequency responses is obtained. Particular attention is devoted to a purely growing modulation. The relative importance of the ponderomotive force nonlinearity and the thermal nonlinearity is discussed.

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.…”

Generalized Kaufman-Stenflo Equations for Collisional Magnetoplasmas

“…Assuming that dn, dB, and dT are proportional to expik Á r À iot, we obtain from (7), (8), and (9) (14) we readily obtain the nonlinear dispersion relation…”

“…Accordingly, in this paper, we generalize the K-S equations by incorporating the UH ponderomotive force and the UH thermal nonlinearity [13,14] in the dynamics of the threedimensional low-frequency (in comparison with the ion gyrofrequency) magnetosonic perturbations. The generalized K-S equations are then employed to derive a nonlinear dispersion relation that is appropriate for studying the parametric instabilities of UH waves in collisional magnetoplasmas.…”

Stimulated scattering of intense radio waves in partially ionized space dusty plasmas

“…In this paper, we consider the parametric coupling between the modified Rao dust magnetoacoustic perturbations [ Rao , 1993, 1995] with a large amplitude HF radio/radar wave of ordinary polarization in the partially ionized dusty plasma of the Earth's ionosphere and mesosphere, taking into account the combined effects of the radio/radar wave ponderomotive force [ Karpman , 1975] and the differential electron Joule heating [e.g.,. Gurevich , 1978; Stenflo , 1985a, 1985b, 1990; Pécseli et al , 1986; Cole and Hoegy , 1996; Milikh and Dimant , 2002; Kuo , 2002] caused by radio/radar waves on the elliptically polarized modified dust magnetoacoustic waves. We derive a set of equations which exhibits the nonlinear coupling between the HF radio/radar wave vector potential and the driven density and electron temperature fluctuations that are associated with the modified magnetoacoustic perturbations.…”