Thermodynamic and dynamical heterogeneities during glass transition of water

Understanding the glass transition of water is still a major scientific challenge. Here we propose a dynamic density functional renormalization group approach to analyze the liquid-liquid phase transitions and diffusion dynamics of water molecules under supercooling condition. We find that, as the temperature approaches the glass transition point, the metastable phase transition displays the confined critical scaling behavior, and the dynamic correlation length actually diverges simultaneously. The predicted glass temperature is 142.5 K, close to the experimental value of 136 K. These results suggest a deep coupling feature of the thermodynamic and dynamical heterogeneities during the glass transition of supercooled water.