Square shoulder model

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The square shoulder model is given by [1]

\[ \Phi_{12}\left( r \right) = \left\{ \begin{array}{ccc} \infty & ; & r < \sigma \\ \epsilon & ; &\sigma \le r < \lambda \sigma \\ 0 & ; & r \ge \lambda \sigma \end{array} \right. \]

where \(\Phi_{12}(r)\) is the intermolecular pair potential, \(\epsilon\) is the height of the shoulder, \(r\) is the distance between site 1 and site 2 \(r := |\mathbf{r}_1 - \mathbf{r}_2|\), σ is the hard diameter and λ > 1.

[edit] Direct correlation function

The direct correlation function [2]

[edit] Equation of State

[3]

[edit] References

  1. J. M. Kincaid, G. Stell and E. Goldmark "Isostructural phase transitions due to core collapse. II. A three-dimensional model with a solid–solid critical point", Journal of Chemical Physics 65 pp. 2172-2179 (1976)
  2. I. Guillén-Escamilla, E. Schöll-Paschinger and R. Castañeda-Priego "A parametrisation of the direct correlation function for the square-shoulder fluid", Molecular Physics 108 pp. 141-150 (2010)
  3. Andreas Lang, Gerhard Kahl, Christos N Likos, Hartmut Löwen and Martin Watzlawek "Structure and thermodynamics of square-well and square-shoulder fluids", Journal of Physics: Condensed Matter 11 pp. 10143-10161 (1999)

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