Penetrable square well model

The penetrable square well model is given by :

$\Phi _{12}\left(r\right)=\left\{{\begin{array}{ccc}\epsilon _{r}&;&r<\sigma \\-\epsilon _{a}&;&\sigma \leq r<\sigma +\Delta \\0&;&r\geq \sigma +\Delta \end{array}}\right.$

where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\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

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)