Microphysically modified magnetosonic modes in collisionless, high-$\beta$ plasmas

TL;DR

This paper combines simulations and theory to explore how micro-instabilities modify magnetosonic modes in high-beta collisionless plasmas, revealing mechanisms that influence plasma turbulence and wave dynamics.

Contribution

It introduces a comprehensive analysis of micro-physically modified magnetosonic modes, highlighting their nonlinear behavior and the role of micro-instabilities in high-beta plasmas.

Findings

Mirror instability excites at large mode amplitudes.

Micro-scale mirrors prevent saturation of NP modes.

Pressure anisotropy drives instabilities affecting wave evolution.

Abstract

With the support of hybrid-kinetic simulations and analytic theory, we describe the nonlinear behaviour of long-wavelength non-propagating (NP) modes and fast magnetosonic waves in high-$\beta$ collisionless plasmas, with particular attention to their excitation of, and reaction to, kinetic micro-instabilities. The perpendicularly pressure balanced polarization of NP modes produces an excess of perpendicular pressure over parallel pressure in regions where the plasma $\beta$ is increased. For mode amplitudes $\delta B/B_0 \gtrsim 0.3$, this excess excites the mirror instability. Particle scattering off these micro-scale mirrors frustrates the nonlinear saturation of transit-time damping, ensuring that large-amplitude NP modes continue their decay to small amplitudes. At asymptotically large wavelengths, we predict that the mirror-induced scattering will be large enough to interrupt transit-time damping entirely, isotropizing the pressure perturbations and morphing the collisionless NP mode into the magnetohydrodynamic (MHD) entropy mode. In fast waves, a fluctuating pressure anisotropy drives both mirror and firehose instabilities when the wave amplitude satisfies $\delta B/B_0 \gtrsim 2\beta^{-1}$. The induced particle scattering leads to delayed shock formation and MHD-like wave dynamics. Taken alongside prior work on self-interrupting Alfv\'en waves and self-sustaining ion-acoustic waves, our results establish a foundation for new theories of electromagnetic turbulence in low-collisionality, high-$\beta$ plasmas such as the intracluster medium, radiatively inefficient accretion flows, and the near-Earth solar wind.