Sutherland potential: Difference between revisions
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where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2, | where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2, | ||
<math> \sigma </math> is the hard | <math> \sigma </math> is the radius of the central hard core, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and | ||
<math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like | <math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like | ||
Revision as of 13:37, 6 April 2010
The Sutherland potential [1][2] is given by
- 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_{12}\left( r \right) = \left\{ \begin{array}{lll} \infty & ; & r \leq \sigma \\ - \epsilon\left( \frac{ \sigma }{r}\right)^{\gamma} & ; & r > \sigma \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 \Phi_{12}\left( r \right) } is the 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 r := |\mathbf{r}_1 - \mathbf{r}_2|} is the distance between site 1 and site 2, 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 \sigma } is the radius of the central hard core, 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 \epsilon } is the energy well depth (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 \epsilon > 0 } ), 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 \gamma } is a parameter that controls the interaction range. For example, for 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 \gamma=6} the potential look like
References
- ↑ W. Sutherland, Philosophical Magazine 36 pp. 507- (1893)
- ↑ H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics 36 pp. 1025-1033 (1964)
Related reading
- D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics 63 pp. 4561-4562 (1975)
- Jianxiang Tian and Yuanxing Gui "Liquid-gas phase transition to first order of an argon-like fluid modeled by the hard-core similar Sutherland potential", International Journal of Modern Physics B 18 pp. 2057-2069 (2004)
- A. Díez, J. Largo and J. R. Solana "Structure and thermodynamic properties of Sutherland fluids from computer simulation and the Tang–Lu integral equation theory", Fluid Phase Equilibria 253 pp. 67-73 (2007)
- Jianguo Mi, Yiping Tang, and Chongli Zhong "Theoretical study of Sutherland fluids with long-range, short-range, and highly short-range potential parameters", Journal of Chemical Physics 128 054503 (2008)
- Roman Melnyk, Pedro Orea, Ivo Nezbeda, and Andrij Trokhymchuk "Liquid/vapor coexistence and surface tension of the Sutherland fluid with a variable range of interaction: Computer simulation and perturbation theory studies", Journal of Chemical Physics 132 134504 (2010)
- F. Paragand, F. Feyzi and B. Behzadi "Application of the SAFT-VR equation of state to vapor–liquid equilibrium calculations for pure components and binary mixtures using the Sutherland potential", Fluid Phase Equilibria 290 pp. 181-194 (2010)