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| [[Image:2D_Widom_Rowlinson.png|thumb|Simulation snapshot of phase separation in two-dimensions.]]
| | The Widom-Rowlinson model for mixtures takes the form: |
| The '''Widom-Rowlinson model''' <ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", Journal of Chemical Physics '''52''', pp. 1670-1684 (1970)]</ref> for mixtures takes the form: | |
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| :<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) = 0 </math> if <math> i </math> and <math> j</math> are particles of the same species |
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| :<math> \Phi \left( r_{ij} \right) = \Phi_{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, |
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| | with <math> V_{HS}(R) </math> is the [[hard sphere]] pair potential |
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| where <math> \Phi_{HS}(r) </math> is the [[hard sphere model | hard sphere]] [[intermolecular pair potential]].
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| ==Surface tension==
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| The [[surface tension]] of the Widom-Rowlinson model has also been studied
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| <ref>[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]</ref>
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| <ref>[http://dx.doi.org/10.1063/1.2806279 Yuri Djikaev "The interfacial tension and phase diagram of the Widom-Rowlinson mixture via Monte Carlo simulations", Journal of Chemical Physics '''128''' 014712 (2008)]</ref>
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| == References == | | == References == |
| <references/>
| | B. Widom and J. S. Rowlinson, |
| '''Related reading'''
| | New Model for the Study of Liquid–Vapor Phase Transitions |
| *[http://dx.doi.org/10.1080/00268977200101921 T. W. Melnyk, J. S. Rowlinson and B. L. Sawford "The penetrable sphere and related models of liquid—vapour equilibrium" Molecular Physics '''24''' pp. 809-831 (1972)]
| | J. Chem. Phys. 52, 1670 (1970) |
| [[Category: Models]]
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