Strongly correlating liquids

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

$R={\frac {\langle \Delta {\mathcal {V}}\Delta U\rangle }{\sqrt {\langle (\Delta {\mathcal {V}})^{2}\rangle \langle (\Delta U)^{2}\rangle }}}$

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Delta U} represents fluctuations of the potential in the NVT ensemble and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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)