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Experiments in bulk water confirm the existence of two local arrangements ofwater molecules with different densities, but, because of inevitable freezingat low temperature $T$, can not ascertain whether the two arrangements separatein two phases. To avoid the freezing, new experiments measure the dynamics ofwater at low $T$ on the surface of proteins, finding a crossover from anon-Arrhenius regime at high $T$ to a regime that is approximately Arrhenius atlow $T$. Motivated by these experiments, Kumar et al. [Phys. Rev. Lett. 100,105701 (2008)] investigated, by Monte Carlo simulations and mean fieldcalculations, the relation of the dynamic crossover with the coexistence of twoliquid phases in a cell model for water and predict that: (i) the dynamiccrossover is isochronic, i.e. the value of the crossover time $\tau_{\rm L}$ isapproximately independent of pressure $P$; (ii) the Arrhenius activation energy$E_{\rm A}(P)$ of the low-$T$ regime decreases upon increasing $P$; (iii) thetemperature $T^*(P)$ at which $\tau$ reaches a fixed macroscopic time$\tau^*\geq \tau_{\rm L}$ decreases upon increasing $P$; in particular, this istrue also for the crossover temperature $T_{\rm L}(P)$ at which $\tau=\tau_{\rmL}$. Here, we compare these predictions with recent quasi elastic neutronscattering (QENS) experiments performed by X.-Q. Chu {\it et al.} on hydratedproteins at different values of $P$. We find that the experiments areconsistent with these three predictions.

Pressure Effects in Supercooled Water: Comparison between a 2D Model of Water and Experiments for Surface Water on a Protein