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Turkish Journal of Physics

Abstract

The exchange interaction, a fundamentally quantum-mechanical phenomenon, can significantly modify the classical description of cold, overdense plasmas. These quantum effects can be systematically analyzed within the framework of quantum magnetohydrodynamic (QMHD) theory, which enables the use of separate momentum equations for spin-up and spin-down electron populations. In this study, we adopt this approach to incorporate exchange interactions for both spin species and investigate the excitation of ion-acoustic wave (IAW) solitons in the plasma system. Using a perturbative expansion method, the governing equations are reduced to a nonlinear Schrödinger equation (NLSE), which admits solitonic wave solutions. The stability of these solitons is examined through a detailed analysis of the corresponding dispersion relation, revealing the conditions for modulational instability, whereby small perturbations within the wave envelope can grow over time. The results show that the growth rate of modulational instability increases with soliton velocity and initial potential amplitude, while exhibiting a nonmonotonic dependence on the spin-polarization ratio, reaching a maximum at the intermediate value of κ = 0.4$. An exact analytical expression for the soliton solutions is derived, and the effects of key model parameters on the properties and propagation characteristics of the solitons are systematically investigated.

Author ORCID Identifier

AMIRHOSEIN REZVANI: 0009-0002-9912-6481

SEDIGHEH MIRABOUTALEBI: 0000-0002-3117-3938

LEILA RAJAEI: 0000-0002-1303-9225

MAHMOODREZA SHARIFIAN: 0000-0002-2781-5563

DOI

10.55730/1300-0101.2816

Keywords

Quantum magnetohydrodynamics, cold quantum plasma, nonlinear Schrödinger equation, ion-acoustic solitons, exchange interaction, spin polarization

First Page

231

Last Page

246

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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