Hemmer and Stell model: Difference between revisions
Carl McBride (talk | contribs) (New page: {{Stub-general}} The '''Hemmer and Stell model''' intermolecular pair potential, <math>\Phi(r)</math>, is given by (Ref. 1 Eq. 2, Ref. 2 Eq. 1-3): :<math>\Phi(r) = \Phi(r)_{\mathrm {...) |
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#[http://dx.doi.org/10.1063/1.1677857 G. Stell and P. C. Hemmer, "Phase Transitions Due to Softness of the Potential Core", Journal of Chemical Physics' '''56''', pp. 4274-4286 (1972)] | #[http://dx.doi.org/10.1063/1.1677857 G. Stell and P. C. Hemmer, "Phase Transitions Due to Softness of the Potential Core", Journal of Chemical Physics' '''56''', pp. 4274-4286 (1972)] | ||
[[category: models]] | [[category: models]] | ||
[[category: Polyamorphic systems]] | |||
Revision as of 15:27, 22 February 2008
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The Hemmer and Stell model intermolecular pair potential, 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(r)} , is given by (Ref. 1 Eq. 2, Ref. 2 Eq. 1-3):
- 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(r) = \Phi(r)_{\mathrm {repulsive}} + \Phi(r)_{\mathrm{attractive}}}
where a short range piece-wise potential
- 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(r)_{\mathrm {repulsive}} = \left\{ \begin{array}{ll} \infty & {\rm if} \; r < d \\ V_0 \left( \frac{1- (r-d)}{\lambda d} \right)& {\rm if} \; d < r < d(1+ \lambda) \\ 0 & {\rm if} \; d( 1+ \lambda) < r \end{array} \right. }
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 d} is the hard core radius, along with a long-range attractive potential;
- 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(r)_{\mathrm{attractive}} = -a\gamma \exp (-\gamma r)}
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 a} is a positive constant.