Widom-Rowlinson model: Difference between revisions
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The Widom-Rowlinson model for mixtures takes the form: | The Widom-Rowlinson model for mixtures takes the form: | ||
<math> V \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 | ||
<math> V \left( r_{ij} \right) = V_{HS}(r_{ij}) | <math> V \left( r_{ij} \right) = V_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species, | ||
with <math> V_{HS}(R) </math> is the [[hard sphere]] pair potential | with <math> V_{HS}(R) </math> is the [[hard sphere]] pair potential | ||
Revision as of 16:18, 22 February 2007
The Widom-Rowlinson model 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 V \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
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,
with is the hard sphere pair potential
References
- B. Widom and J. S. Rowlinson, New Model for the Study of Liquid–Vapor Phase Transitions, J. Chem. Phys. 52, 1670 (1970)