Strongly correlating liquids

Strongly correlating liquids are defined as those for whom $R\ge 0.9$ where (Eq. 6 )

$R=\frac{⟨\mathrm{\Delta }\mathcal{V}\mathrm{\Delta }U⟩}{\sqrt{⟨(\mathrm{\Delta }\mathcal{V}{)}^2⟩⟨(\mathrm{\Delta }U{)}^2⟩}}$

where $\mathrm{\Delta }U$ represents fluctuations of the potential in the NVT ensemble and $\mathcal{V}$ is the virial (see also Virial pressure).

Lennard-Jones liquid

The liquid phase formed by the Lennard-Jones model is an example of a strongly correlating liquid.

References

Related reading

• Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. II. Analysis and consequences", Journal of Chemical Physics 129 184508 (2008)
• Thomas B. Schrøder, Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, and Jeppe C. Dyre "Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance", Journal of Chemical Physics 131 234503 (2009)
• Trond S. Ingebrigtsen, Lasse Bøhling, Thomas B. Schrøder, and Jeppe C. Dyre "Communication: Thermodynamics of condensed matter with strong pressure-energy correlations", Journal of Chemical Physics 136 061102 (2012)