Widom-Rowlinson model: Difference between revisions
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[[Image:2D_Widom_Rowlinson.png|thumb|Simulation snapshot of phase separation in two-dimensions.]] | [[Image:2D_Widom_Rowlinson.png|thumb|Simulation snapshot of phase separation in two-dimensions.]] | ||
The '''Widom-Rowlinson model''' | 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: | ||
:<math> \Phi \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 | ||
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where <math> \Phi_{HS}(r) </math> is the [[hard sphere model | hard sphere]] [[intermolecular pair potential]]. | where <math> \Phi_{HS}(r) </math> is the [[hard sphere model | hard sphere]] [[intermolecular pair potential]]. | ||
==Surface tension== | ==Surface tension== | ||
The [[surface tension]] of the Widom-Rowlinson model has been studied | The [[surface tension]] of the Widom-Rowlinson model has also been studied | ||
<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> | |||
<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> | |||
== References == | == References == | ||
<references/> | |||
'''Related reading''' | |||
*[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)] | |||
[[Category: Models]] | [[Category: Models]] | ||
Latest revision as of 14:17, 1 October 2009
The Widom-Rowlinson model [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 intermolecular pair potential.
Surface tension[edit]
The surface tension of the Widom-Rowlinson model has also been studied [2] [3]
References[edit]
- ↑ 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)
- ↑ E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics 127 034707 (2007)
- ↑ Yuri Djikaev "The interfacial tension and phase diagram of the Widom-Rowlinson mixture via Monte Carlo simulations", Journal of Chemical Physics 128 014712 (2008)
Related reading