Editing Strongly correlating liquids
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'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 6 <ref>[http://dx.doi.org/10.1063/1.2982247 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)]</ref>) | '''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 6 <ref>[http://dx.doi.org/10.1063/1.2982247 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)]</ref>) | ||
:<math>R=\frac{\langle \Delta | :<math>R=\frac{\langle \Delta V \Delta U \rangle}{ \sqrt{ \langle (\Delta V)^2 \rangle \langle (\Delta U)^2 \rangle } }</math> | ||
where <math>\Delta U</math> represents [[Fluctuation theorem | fluctuations]] of the potential in the [[Canonical ensemble | NVT ensemble]] and <math> | where <math>\Delta U</math> represents [[Fluctuation theorem | fluctuations]] of the potential in the [[Canonical ensemble | NVT ensemble]] and <math>V</math> | ||
is the [[ | is the [[virial]] (see also [[Virial pressure]]). | ||
==Isomorphs== | ==Isomorphs== | ||
<ref>[http://dx.doi.org/10.1063/1.3265957 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)]</ref> | <ref>[http://dx.doi.org/10.1063/1.3265957 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)]</ref> | ||
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*[http://dx.doi.org/10.1063/1.2982249 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)] | *[http://dx.doi.org/10.1063/1.2982249 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)] | ||
*[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:Complex systems]] | |||
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