Strongly correlating liquids: Difference between revisions
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*[http://dx.doi.org/10.1063/1.3265955 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)] | *[http://dx.doi.org/10.1063/1.3265955 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)] | ||
[[category: | [[category: Classical thermodynamics]] | ||
[[category: Statistical mechanics]] | |||
Revision as of 14:26, 18 May 2011
Strongly correlating liquids are defined as those for whom 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 R \ge 0.9} where (Eq. 6 [1])
- 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 R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta 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 V} is the virial (see also Virial pressure).
Isomorphs
Lennard-Jones liquid
The liquid phase formed by the Lennard-Jones model is an example of a strongly correlating liquid[3].
References
- ↑ Nicholas P. Bailey, Ulf R. Pedersen, Nicoletta Gnan, Thomas B. Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. I. Results from computer simulations", Journal of Chemical Physics 129 184507 (2008)
- ↑ Nicoletta Gnan, Thomas B. Schrøder, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. IV. “Isomorphs” in liquid phase diagrams", Journal of Chemical Physics 131 234504 (2009)
- ↑ Thomas B. Schrøder, Nicoletta Gnan, Ulf R. Pedersen, Nicholas P. Bailey, and Jeppe C. Dyre "Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems", Journal of Chemical Physics 134 164505 (2011)
- 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)