Ion acoustic and spin electron acoustic cnoidal waves in a spin polarized plasma with exchange effects

TL;DR

This paper investigates how exchange and spin polarization effects influence ion-acoustic and spin electron-acoustic waves in a quantum plasma, revealing significant changes in wave velocities and nonlinear structures, including cnoidal wave transformations.

Contribution

It introduces a detailed analysis of exchange-correlation effects on nonlinear wave structures in spin-polarized quantum plasmas using the SSE-QHD model and reductive perturbation method.

Findings

Exchange effects cause abrupt changes in phase velocities.

Cnoidal wave profiles are significantly affected by exchange effects.

SEAW cnoidal structures can switch from rarefactive to compressive.

Abstract

Separate spin evolution-quantum hydrodynamic (SSE-QHD) model is employed to address the nonlinear propagation of ion-acoustic wave (IAW) and spin electron-acoustic wave (SEAW) in a spin polarized electron-ion plasma. The analysis has been made under the self-consistent field approximation and with exchange correlation effects. The reductive perturbation method (RPM) is used to derive KdV equation and its cnoidal wave solutions. We noted that the phase velocity of IAW in the self-consistent field approximation is almost constant however, in the presence of exchange-correlation potential there is an abrupt change in the phase velocity. The phase velocity of SEAW decreases in the presence of exchange-correlation effects as compare to self-consistent field approximation. We have calculated the condition for the existence of \ nonlinear structures and it is found that \ in the presence of exchange effect the condition satisfy for certain values of $\eta$ at different densities. Furthermore, the comparisons have been made with and without exchange effects, it shows that although the nonlinear profiles of both waves are significantly\ affected with exchange effect but it also converts cnoidal structures of SEAW from rarefactive to compressive. The influence of exchange-correlation potential and spin polarization on the \ profiles of both nonlinear structures is evaluated numerically. The present study may be helpful to understand formation of \ new longitudinal cniondal structures in laboratory degenerate plasma.