Developing a unified theory for liquid behaviour has long been a challenge due to the complex interactions between particles and the constantly changing dynamic disorder within liquids. Current approaches rely on empirical equations of state derived from experiments, which are often specific to individual systems and cannot be easily transferred to others. Compared to the well-established thermodynamic models for solids and gases, our understanding of liquids remains significantly underdeveloped. 

In this study, the authors take a foundational step toward creating a general equation of state for liquids based on phonon theory. If successful, such a model could have wide-ranging applications in planetary science, industrial processes, chemical engineering, and condensed matter physics. 

The authors provide a detailed explanation of how they approached this complex problem and apply their theoretical framework to experimental data for argon and nitrogen. The results show strong agreement, suggesting that the model has the potential for broad applicability. 

This work represents a significant advance in the theoretical understanding of liquids and opens the door to a more unified and transferable approach to liquid thermodynamics. 

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Collective modes and thermodynamics of the liquid state by K Trachenko and V V Brazhkin (2015)

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