Soft-core mean spherical approximation

Chihara (along with Madden and Rice) extended the Percus Yevick equation for Lennard-Jones systems to provide a soft-core mean spherical approximation, the SMSA,

$B(r)=\beta \Phi _{2}(r)-\gamma (r)+\ln \left(1+\gamma (r)-\beta \Phi _{2}(r)\right)$

where

References

1. Junzo Chihara "Integral Euqations for Fluids with Long-Range and Short-Range Potentials - Application to a Charged Particle System", Progress of Theoretical Physics, 50 pp. 409-423 (1973)
2. [http://dx.doi.org/
3. [PTP_1973_050_1156]
4. William G. Madden and Stuart A. Rice "The mean spherical approximation and effective pair potentials in liquids", Journal of Chemical Physics 72 pp. 4208-4215 (1980)