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Updated: Sep 12, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Statistical Mechanical Theory of Liquid Water
Lakshmanji Verma1, Ken A Dill1,2
1Laufer Center for Physical and Quantitative Biology, Stony Brook University, Stony Brook, New York 11777-1302, United States.
This study introduces the Cage Water model, explaining water's unique properties and anomalies like supercooling. It reveals these behaviors stem from three molecular bonding states, offering a fast and accurate computational approach.
Area of Science:
- Physical Chemistry
- Statistical Mechanics
- Liquid State Physics
Background:
- Water exhibits unusual thermophysical properties that are nonmonotonic with temperature and pressure.
- The molecular basis for water's anomalous behaviors remains incompletely understood.
- Existing computational models are often computationally expensive.
Purpose of the Study:
- To develop a fast and accurate statistical mechanical model for liquid water.
- To explain the molecular origins of water's anomalous liquid behaviors.
- To elucidate the mechanism behind water's controversial liquid-liquid supercooling transition.
Main Methods:
- Development of the analytical 'Cage Water' model.
- Assumption of three distinct molecular bonding states: van der Waals, pairwise hydrogen bonding, and multibody cooperative caging hydrogen bonds.
- Validation against extensive experimental pT data and comparison with established water models (TIP4P/2005, MB-pol).
Main Results:
- The Cage Water model accurately reproduces experimental thermophysical properties of liquid water.
- The model achieves accuracy comparable to computationally intensive explicit water models but at a significantly lower cost.
- The model successfully explains water's anomalies, including the liquid-liquid transition, as transitions between the defined bonding states.
Conclusions:
- The Cage Water model provides a computationally efficient and accurate framework for understanding liquid water.
- The three proposed bonding states offer a clear molecular interpretation of water's complex behaviors.
- This model clarifies the nature of water's liquid-liquid supercooling transition.
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