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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''' |
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| :<math>R=\frac{\langle \Delta \mathcal{V} \Delta U \rangle}{ \sqrt{ \langle (\Delta \mathcal{V})^2 \rangle \langle (\Delta U)^2 \rangle } }</math>
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| where <math>\Delta U</math> represents [[Fluctuation theorem | fluctuations]] of the potential in the [[Canonical ensemble | NVT ensemble]] and <math>\mathcal{V}</math>
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| is the [[Virial theorem | virial]] (see also [[Virial pressure]]).
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| ==Isomorphs==
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| <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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| ==Lennard-Jones liquid==
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| The liquid phase formed by the [[Lennard-Jones model]] is an example of a strongly correlating liquid<ref>[http://dx.doi.org/10.1063/1.3582900 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)]</ref>.
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| ==References== | | ==References== |
| <references/>
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| ;Related reading | | ;Related reading |
| *[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)]
| | [[category:Complex systems]] |
| *[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)]
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| *[http://dx.doi.org/10.1063/1.3685804 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)]
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| [[category: Classical thermodynamics]]
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| [[category: Statistical mechanics]] | |