Widom-Rowlinson model: Difference between revisions

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The Widom-Rowlinson model for mixtures takes the form:
The Widom-Rowlinson model 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> V \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> V \left( r_{ij} \right) =  V_{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]] pair potential
with <math> V_{HS}(R) </math> is the [[hard sphere]] pair potential

Revision as of 17:18, 22 February 2007

The Widom-Rowlinson model for mixtures takes the form:

; if and are particles of the same species

if and belong to different species,

with 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, 1670 (1970)