Widom-Rowlinson model: Difference between revisions
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The Widom-Rowlinson model (Ref. 1) for mixtures takes the form: | The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form: | ||
:<math> | :<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species | ||
:<math> | :<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 | |||
== References == | == References == | ||
#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)] | #[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)] | ||
[[Category: Models]] | [[Category: Models]] | ||
Revision as of 13:37, 21 June 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 pair potential