“…Simply put, κ P is a smoothed step function that transitions from a small diffusive end member κ diff when the thermocline is buoyant to a large convective end member κ conv when the thermocline approaches the density of the underlying mCDW. The effect is analogous to rapid transitions to vertical homogeneity triggered by static instability in simple models of open ocean polynyas (Boot et al.,
2021; Martinson et al.,
1981). Functionally, we define κ P as,
where κ conv (10 −2 m 2 s −1 ) and κ diff (10 −4 m 2 s −1 , taken from Pine Island Ice Front observations, Garabato et al.,
2017) are vertical diffusivities, Δ b crit (5 × 10 −4 m s −2 ) is a small stratification strength at which turbulent convection onsets, and ϕ (5 × 10 4 ) is a parameter determining the steepness of the onset of convection.…”