Abstract
The formation of nonlinear ion-acoustic waves is studied in a degenerate magnetoplasma accounting for quantized and trapped electrons. Relying on the reductive perturbation technique, a three-dimensional Zakharov–Kuznetsov (ZK) equation is derived, admitting a solitary wave solution with modified amplitude and width parameters. The stability of the ZK equation is also discussed using the k-expansion method. Subsequently, numerical analyses are carried out for plasma parameters of a dense stellar system involving white dwarf stars. It has been observed that the quantized magnetic field parameter η and degeneracy of electrons (determined by small temperature values T) affect the amplitude and width of the electric potential. The critical point at which the nature of the solitary structure changes from compressive to rarefaction is evaluated. Importantly, the growth rate of the instability associated with a three-dimensional ZK equation depends on the plasma parameters, and higher values of η and T tend to stabilize the solitons in quantized degenerate plasmas. The results of the present study may hold significance to comprehend the properties of wave propagation and instability growth in stellar and laboratory dense plasmas.
Highlights
Quantum plasmas have been the focus of interest in the past few decades for many researchers owing to their significance in astrophysical environments [1,2,3], ultracold plasmas [4], intense laser plasma interaction experiments [5], microelectronic devices [6], and micro plasmas [7]
We investigate the small-amplitude properties of ion-acoustic waves (IAWs) in a degenerate quantum plasma to account for trapped electrons and the quantized magnetic field
We need to identify quantum parameters and scales for a quantized nonrelativistic degenerate plasma, which is characterized by strong magnetic fields
Summary
Quantum plasmas have been the focus of interest in the past few decades for many researchers owing to their significance in astrophysical environments [1,2,3], ultracold plasmas [4], intense laser plasma interaction experiments [5], microelectronic devices [6], and micro plasmas [7]. The external magnetic field may enhance the total energy of the system in the form of quantized energy levels due to diamagnetism and alters thermodynamic properties in dense magnetoplasmas In this context, the linear and nonlinear electrostatic waves with quantization effects have attracted lots of attention of the plasma community. Mandi et al [33] have considered the dynamics of IAWs in Thomas–Fermi plasmas comprising electrons, positrons, and positive ions and accounted for the source term effect They examined the impact of the positron concentration, the speed of space debris, and the strength of the source term on the profiles of periodic, quasiperiodic, and chaotic motions of IAWs. Quite recently, the nonlinear features of IAWs have been identified in space plasmas to exhibit chaotic structures, which can be exploited to design efficient algorithms for image encryption [34]. We investigate the small-amplitude properties of IAWs in a degenerate quantum plasma to account for trapped electrons and the quantized magnetic field.
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