Soft-core mean spherical approximation: Difference between revisions
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Chihara (along with Madden and Rice) extended the [[Percus Yevick]] equation for [[Lennard-Jones]] systems to provide a soft-core [[Mean spherical approximation | 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 | mean spherical approximation]], | ||
the SMSA | the SMSA, | ||
:<math>B(r) = \beta \Phi_2 (r) - \gamma (r) + \ln \left( 1 + \gamma (r) - \beta \Phi_2 (r) \right)</math> | :<math>B(r) = \beta \Phi_2 (r) - \gamma (r) + \ln \left( 1 + \gamma (r) - \beta \Phi_2 (r) \right)</math> | ||
where | |||
==References== | ==References== | ||
#[ | #[http://dx.doi.org/10.1143/PTP.50.409 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)] | ||
#[http://dx.doi.org/ | |||
#[PTP_1973_050_1156] | #[PTP_1973_050_1156] | ||
#[http://dx.doi.org/10.1063/1.439651 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)] | #[http://dx.doi.org/10.1063/1.439651 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)] | ||
[[Category: Integral equations]] | [[Category: Integral equations]] | ||
Revision as of 12:14, 28 February 2007
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,
where
References
- 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)
- [http://dx.doi.org/
- [PTP_1973_050_1156]
- 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)