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 (Refs 1,2 and 3)
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==
#[PTP_1973_050_0409]
#[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

  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)