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This work, which extends Squire et al. [ApJL, 830 L25 (2016)], explores theeffect of self-generated pressure anisotropy on linearly polarizedshear-Alfv\'en fluctuations in low-collisionality plasmas. Such anisotropieslead to stringent limits on the amplitude of magnetic perturbations inhigh-beta plasmas, above which a fluctuation can destabilize itself through theparallel firehose instability. This causes the wave frequency to approach zero,"interrupting" the wave and stopping its oscillation. These effects areexplored in detail in the collisionless and weakly collisional "Braginskii"regime, for both standing and traveling waves. The focus is on simplifiedmodels in one dimension, on scales much larger than the ion gyroradius. Theeffect has interesting implications for the physics of magnetized turbulence inthe high-beta conditions that are prevalent in many astrophysical plasmas.

Amplitude limits and nonlinear damping of shear-Alfv\'en waves in high-beta low-collisionality plasmas