Localized whistlers in magnetized spin quantum plasmas

TL;DR

This paper investigates the nonlinear behavior and localization of whistler waves in a magnetized quantum plasma with electron spin, revealing stable localized structures and density fluctuations influenced by quantum and spin effects.

Contribution

It introduces a comprehensive model including quantum and spin effects for whistler wave propagation, deriving exact localized solutions and analyzing modulational instability in such plasmas.

Findings

Existence of stationary localized whistler envelope solutions.

Large-scale density fluctuations driven by localized whistlers.

Conditions for modulational instability and its growth rate.

Abstract

The nonlinear propagation of electromagnetic (EM) electron-cyclotron waves (whistlers) along an external magnetic field, and their modulation by electrostatic small but finite amplitude ion-acoustic density perturbations are investigated in a uniform quantum plasma with intrinsic spin of electrons. The effects of the quantum force associated with the Bohm potential and the combined effects of the classical as well as the spin-induced ponderomotive forces (CPF and SPF respectively) are taken into consideration. The latter modify the local plasma density in a self-consistent manner. The coupled modes of wave propagation is shown to be governed by a modified set of nonlinear Schr\"{o}dinger-Boussinesq-like equations which admit exact solutions in form of stationary localized envelopes. Numerical simulation reveals the existence of large-scale density fluctuations that are self-consistently created by the localized whistlers in a strongly magnetized high density plasma. The conditions for the modulational instability (MI) and the value of its growth rate are obtained. Possible applications of our results, e.g., in strongly magnetized dense plasmas and in the next generation laser-solid density plasma interaction experiments are discussed.