Continuous shouldered well model
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The continuous shouldered well model is given by (Ref. 1 Eq. 1):
![\Phi_{12}(r) = \frac{U_R}{1 + \exp [\Delta(r-R_R)/a]} -U_A \exp \left[ -\frac{(r-R_A)^2}{2\delta_A^2} \right] + \left(\frac{a}{r}\right)^{24}](/SklogWiki/images/math/4/2/9/429baa4f0debfc4ba8a77e01ff8bf7ca.png)
where Φ12 is the intermolecular pair potential, UR is the energy of the repulsive shoulder, UA is the energy of the attractive well, a is the diameter of the particles, and 
.
[edit] References
- Giancarlo Franzese "Differences between discontinuous and continuous soft-core attractive potentials: The appearance of density anomaly", Journal of Molecular Liquids 136 pp. 267-273 (2007)
- Alan Barros de Oliveira, Giancarlo Franzese, Paulo A. Netz, and Marcia C. Barbosa "Waterlike hierarchy of anomalies in a continuous spherical shouldered potential", Journal ofChemical Physics 128 064901 (2008)
