Equations of state for the square well model

Equations of state for the square well model. From the continuous pressure equation one can arrive at the following discontinuous equation for the square well model (Eq. 7b )

$Z=\frac{pV}{N{k}_{B}T}=1+\frac{2\pi }{3}\rho {\sigma }^3(\mathrm{g}({\sigma }^{+})-{\lambda }^3[\mathrm{g}(\lambda {\sigma }^{-})-\mathrm{g}(\lambda {\sigma }^{+})])$

References

Related reading

• A. Rotenberg "Monte Carlo Equation of State for Hard Spheres in an Attractive Square Well", Journal of Chemical Physics 43 pp. 1198-1201 (1965)
• 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)
• J. Largo, J. R. Solana, S. B. Yuste and A. Santos "Pair correlation function of short-ranged square-well fluids", Journal of Chemical Physics 122 084510 (2005)
• Rodolfo Espíndola-Heredia, Fernando del Río, and Anatol Malijevsky "Optimized equation of the state of the square-well fluid of variable range based on a fourth-order free-energy expansion", Journal of Chemical Physics 130 024509 (2009)