# Combined Description of the Equation of State and Diffusion Coefficient of Liquid Water Using a Two-State Sanchez-Lacombe Approach

Molecules (Basel, Switzerland)（2023）

Abstract

Water is one of the most important compounds on Earth, yet its material properties are still poorly understood. Here, we use a recently developed two-state, two-(time)scale (TS2) dynamic mean-field model combined with the two-state Sanchez-Lacombe (SL) thermodynamic theory in order to describe the equation of state (density as a function of temperature and pressure) and diffusivity of liquid water. In particular, it is shown that in a relatively wide temperature and pressure range (160 K < T < 360 K; 0 < P < 100 MPa), density and self-diffusion obey a special type of dynamic scaling, similar to the "tau TV" scaling of Casalini and Roland, but with the negative exponent gamma. The model predictions are consistent with experimental data. The new equation of state can be used for various process models and generalized to include multicomponent mixtures.

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Key words

water,diffusion,density,relaxation,fragile-to-strong transition,scaling,two-state theory

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