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 (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 $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$.

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)
• 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)