Strongly correlating liquids: Difference between revisions

Revision as of 10:48, 18 May 2011

Strongly correlating liquids are defined as those for whom $R\geq 0.9$ where (Eq. 2 ^[1])

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

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

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

@@ Line 1: / Line 1: @@
-'''Strongly correlating liquids'''
+'''Strongly correlating liquids''' are defined as those for whom <math>R \ge 0.9</math> where (Eq. 2 <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>)
+:<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>V</math>
+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==
+<references/>
 ;Related reading
 [[category:Complex systems]]