Widom-Rowlinson model: Difference between revisions

Revision as of 13:37, 21 June 2007

The Widom-Rowlinson model (Ref. 1) for mixtures takes the form:

\Phi \left(r_{ij}\right)=0

; if

i

and

j

are particles of the same species

\Phi \left(r_{ij}\right)=\Phi _{HS}(r_{ij});

if

i

and

j

belong to different species,

where $\Phi _{HS}(r)$ is the hard sphere pair potential

@@ Line 1: / Line 1: @@
-The Widom-Rowlinson model (Ref. 1) for mixtures takes the form:
+The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:
-:<math> V \left( r_{ij} \right) =  0 </math>;  if <math> i </math> and <math> j</math> are particles of the same species
+:<math> \Phi \left( r_{ij} \right) =  0 </math>;  if <math> i </math> and <math> j</math> are particles of the same species
-:<math> V \left( r_{ij} \right) =  V_{HS}(r_{ij});   </math> if <math> i </math> and <math> j</math> belong to different species,
+:<math> \Phi \left( r_{ij} \right) =  \Phi_{HS}(r_{ij});   </math> if <math> i </math> and <math> j</math> belong to different species,
-with <math> V_{HS}(R) </math> is the [[hard sphere model | hard sphere]] pair potential
+where <math> \Phi_{HS}(r) </math> is the [[hard sphere model | hard sphere]] pair potential
 == References ==
 #[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684   (1970)]
 [[Category: Models]]