What stirs the gas where planets form
Outer discs are dense, cold and poorly ionized, so Ohmic resistivity, ambipolar diffusion and the Hall effect all weaken the magnetorotational instability and leave room for a purely hydrodynamic competitor, the vertical shear instability (VSI). I work out the linear theory of the VSI as an outwardly travelling wave, show how its body and corrugation modes saturate through a parametric instability, measure the radial wavelengths that disc-kinematics observations would need to resolve, and run global three-dimensional simulations with Athena++ to ask which mechanism — MRI or VSI — actually sets the turbulence at tens of au.