Effect of trapping in coupled kinetic Alfven-acoustic waves in a partially degenerate plasma with quantizing magnetic field

Abstract

Inclusion of a quantizing magnetic field in a partially degenerate plasma has interesting effects on the propagation of solitary and nonlinear periodic structures in coupled kinetic Alfven acoustic waves. In this paper we use the two potential theory and investigate the nonlinear structures using Sagdeev potential approach and further analyze it using nonlinear dynamical methods. It is shown that the existence of solitary structure is sensitive to small temperature effects and quantizing magnetic field in a dense plasma with adiabatically trapped electrons. The work presented here is useful in understanding the low frequency wave propagation in a dense astrophysical environment like white dwarf stars and in low beta laboratory plasmas e.g. intense laser-plasma interactions.

Damped quantum drift Zakharov-Kuznetsov equation for a dissipative inhomogeneous partially degenerate plasma with quantizing magnetic field

“…2 ). This interesting nonlinear effect has been studied extensively in both electrostatic [11,12,16] and quasi-electrostatic cases [17]. The effect of inhomogeneity was also investigated for a degenerate plasma with trapped electrons [18].…”

“…Tsintsadze [20] presented a detailed study of the effects of weak and strong quantizing magnetic fields on the propagation of long wavelength longitudinal waves in a dense degenerate electron gas. In quantum plasmas, numerous studies have been carried out to understand the effects of the quantizing magnetic field on the propagation of nonlinear structures [12,17,21]. The effect of quantizing magnetic field for adiabatic trapping was first taken into consideration by Shah et al [12] to investigate the properties of solitary structures in dense plasmas.…”