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New Zeno-Like Liquid States.

Isaac C Sanchez1, Sean O'Keefe1, Jeffrey F Xu1

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Summary
This summary is machine-generated.

A new Zeno-like line reveals that liquid densities and configurational energy are linear functions of temperature in the normal liquid range, establishing a universal corresponding states principle for diverse liquids.

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Area of Science:

  • Thermodynamics
  • Physical Chemistry
  • Materials Science

Background:

  • A Zeno line is defined in a fluid's temperature-density plane where compressibility factor equals unity.
  • An unexpected Zeno-like line exists in the normal liquid range (NLR) where compressibility factor approaches zero.

Purpose of the Study:

  • To identify and characterize a second Zeno-like linearity in the normal liquid range (NLR).
  • To establish a new corresponding states principle based on this observed linearity.

Main Methods:

  • Analysis of temperature-density data for various liquid types.
  • Identification of linear relationships in the normal liquid range (NLR).

Main Results:

  • A Zeno-like line is observed in the NLR for diverse liquids, including molecular, polymeric, inorganic, ionic, and metallic liquids.
  • Saturated liquid densities exhibit a linear dependence on temperature in the NLR, forming a single master curve.
  • Configurational energy also shows a Zeno-like linearity in the NLR, extending to define the ground state energy of glasses.

Conclusions:

  • The Zeno-like linearity in the NLR is a generic characteristic of liquids with low vapor pressures.
  • This finding establishes a new corresponding states principle applicable to a wide range of liquid systems.
  • The concept is extended to determine the ground state configurational energy of hypothetical disordered liquids (glasses).