Widom-Rowlinson model

Simulation snapshot of phase separation in two-dimensions.

The Widom-Rowlinson model for mixtures takes the form:

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi \left(r_{ij}\right)=0} ; if $i$ and $j$ are particles of the same species

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi \left(r_{ij}\right)=\Phi _{HS}(r_{ij});} if Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i } and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j} belong to different species,

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{HS}(r) } is the hard sphere intermolecular pair potential.

Surface tension

The surface tension of the Widom-Rowlinson model has been studied by:

• 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)