Penetrable square well model
The penetrable square well model is given by [1] [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 \Phi_{12}\left( r \right) = \left\{ \begin{array}{ccc} \epsilon_r & ; & r < \sigma \\ - \epsilon_a & ; &\sigma \le r < \sigma + \Delta\\ 0 & ; & r \ge \sigma + \Delta\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}(r)} 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 \epsilon_r} is the hight of the repulsive core 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 \epsilon_a} is the attractive 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 r} 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 r := |\mathbf{r}_1 - \mathbf{r}_2|} .
References[edit]
- ↑ Andrés Santos, Riccardo Fantoni and Achille Giacometti "Penetrable square-well fluids: Exact results in one dimension", Physical Review E 77 051206 (2008)
- ↑ Riccardo Fantoni, Achille Giacometti, Alexandr Malijevský, and Andrés Santos "Penetrable-square-well fluids: Analytical study and Monte Carlo simulations", Journal of Chemical Physics 131 124106 (2009)
- Related reading
- Riccardo Fantoni, Alexandr Malijevský, Andrés Santos and Achille Giacometti "The penetrable square-well model: extensive versus non-extensive phases", Molecular Physics 109 pp. 2723-2736 (2011)
- Riccardo Fantoni, Alexandr Malijevský, Andrés Santos and Achille Giacometti "Phase diagram of the penetrable-square-well model", Europhysics Letters 93 26002 (2011)
- Gianpietro Malescio "Phase stability of the penetrable-square-well model: an integral equation approach", Molecular Physics 112 pp. 1731-1735 (2014)