Widom-Rowlinson model: Difference between revisions
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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> \Phi \left( r_{ij} \right) = \Phi_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species, | ||
where <math> \Phi_{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]] [[intermolecular pair potential]]. | ||
==Surface tension== | ==Surface tension== | ||
*[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)] | *[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)] | ||
Revision as of 15:29, 24 July 2007
The Widom-Rowlinson model (Ref. 1) for mixtures takes the form:
- 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 \left( r_{ij} \right) = 0 } ; 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} are particles of the same species
- 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 \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.