Nonlinear Interactions Between Gravitational Radiation and Modified Alfven Modes in Astrophysical Dusty Plasmas

TL;DR

This paper explores how gravitational waves interact nonlinearly with modified Alfvén modes in dusty plasmas, revealing small threshold amplitudes for wave coupling and potential astrophysical implications.

Contribution

It introduces a detailed analysis of three-wave coupling coefficients and growth rates for gravitational and Alfvén-Rao modes in dusty plasmas, a novel investigation in this context.

Findings

Small gravitational wave amplitude thresholds for mode coupling

Enhanced interaction when gravitational frequency is near twice the Alfvén wave frequency

Implications for astrophysical dusty plasma phenomena

Abstract

We present an investigation of nonlinear interactions between Gravitational Radiation and modified Alfv\'{e}n modes in astrophysical dusty plasmas. Assuming that stationary charged dust grains form neutralizing background in an electron-ion-dust plasma, we obtain the three wave coupling coefficients, and calculate the growth rates for parametrically coupled gravitational radiation and modified Alfv\'{e}n-Rao modes. The threshold value of the gravitational wave amplitude associated with convective stabilization is particularly small if the gravitational frequency is close to twice the modified Alfv\'en wave-frequency. The implication of our results to astrophysical dusty plasmas is discussed.