Nonlinear drift ion acoustic waves in degenerate plasmas with adiabatic trapping

Abstract

In this work, we have investigated ion acoustic drift waves in the presence of adiabatically trapped degenerate electrons in both linear and nonlinear regimes. Using quantum magnetohydrodynamics (QMHD), we have modelled a new nonlinear wave equation with a fractional nonlinearity in two spatial dimensions and one temporal coordinate. We have carried out the nonlinear analysis by using Sagdeev potential approach and obtained arbitrary amplitude rarefactive solitons. The propagation ranges for these solitons are worked out with regard to inhomogeneity and obliqueness. For illustrative purposes, we have applied our results to neutron stars [5] where the quantum effects are surmised to be extremely significant.

Coupled Drift Ion Acoustic Shock waves with trapped electrons in Quantum Magnetoplasma

“…It is imperative to note here that in equation (5), polarization drift is a small effect in comparison to É B drift and it vanishes if the plasma approximation is used instead of equation (3). The inclusion of polarization drift leads to dispersive effects on solitary structures which has been studied earlier [30]. Therefore, we write a new nonlinear Burgers like equation in (2+1) dimensions to study the dissipative effects on solitary structures in inhomogeneous plasmas i.e.…”

“…The first term on the RHS of equation ( 4) is É B drift, second term is the polarization drift and the third term is the collisional drift term. By using the standard drift wave approximation [30], the parallel component of velocity can be written as…”

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

“…$$$ {\lambda}_{B\alpha}\gtrsim $$$ $$$ a\left(={n}_{\alpha 0}^{-1/3}\right), $$$ where $$$ a $$$ is the interparticle distance, $$$ {\lambda}_{B\alpha}\left(=\mathrm{\hslash}/{m}_{\alpha }{v}_{T\alpha}\right) $$$ is the de‐Broglie wavelength of plasma particle, $$$ {n}_{e\alpha}, $$$ $$$ {v}_{T\alpha}, $$$ $$$ {m}_{\alpha }, $$$ and $$$ \mathrm{\hslash}\left(=h/2\pi \right) $$$ represent the number density, the thermal speed, the mass of plasma species $$$ \alpha $$$ and Planck constant, respectively. In this scenario, several investigations [ 1–6 ] have been devoted to investigate various processes in quantum plasmas by using quantum hydrodynamic (QHD) models. [ 7–15 ] In parallel, the QHD was modified by taking into account the electron spin effect, [ 16 ] and separated spin evolution QHD (SSE‐QHD) model was developed in Ref.…”