Relations between the diffusion anomaly and cooperative rearranging regions in a hydrophobically nanoconfined water monolayer

We simulate liquid water between hydrophobic walls, separated by 0.5 nm, to study how the diffusion constant D-parallel to parallel to the walls depends on the microscopic structure of water. At low temperature T, water diffusion can be associated with the number of defects in the hydrogen bond network. However, the number of defects solely does not account for the peculiar diffusion of water, with maxima and minima along isotherms. Here, we calculate a relation that quantitatively reproduces the behavior of D-parallel to, focusing on the high-T regime. We clarify how the interplay between breaking of hydrogen bonds and cooperative rearranging regions of 1-nm size gives rise to the diffusion extrema in nanoconfined water.