Three-wave interactions of dispersive plasma waves propagating parallel to the magnetic field

TL;DR

This paper investigates three-wave interactions among parallel-propagating plasma waves in low-beta plasmas, analyzing resonance conditions and interaction rates for various wave mode combinations.

Contribution

It provides a comprehensive analysis of resonance conditions and interaction rates for three-wave interactions among different plasma wave modes in low-beta environments.

Findings

Identified all feasible three-wave interactions among Alfvén, ion-cyclotron, magnetosonic, whistler, and ion-sound waves.

Derived resonance conditions for wave frequencies and wavenumbers in the considered plasma modes.

Mapped out interaction rates and reactions that are not forbidden in weakly turbulent low-beta plasmas.

Abstract

Three-wave interactions of plasma waves propagating parallel to the mean magnetic field at frequencies below the electron cyclotron frequency are considered. We consider Alfv\'en--ion-cyclotron waves, fast-magnetosonic--whistler waves, and ion-sound waves. Especially the weakly turbulent low-beta plasmas like the solar corona are studied, using the cold-plasma dispersion relation for the transverse waves and the fluid-description of the warm plasma for the longitudinal waves. We analyse the resonance conditions for the wave frequencies $\omega$ and wavenumbers $k$, and the interaction rates of the waves for all possible combinations of the three wave modes, and list those reactions that are not forbidden.