Widom-Rowlinson model: Difference between revisions

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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 ==
== 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)]
#[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]]
[[Category: Models]]

Revision as of 13:37, 21 June 2007

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

; if and are particles of the same species
if and belong to different species,

where is the hard sphere pair potential

References

  1. B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. 52, pp. 1670-1684 (1970)