Ben-Naim models of water

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The page treats the models for water proposed over the years by Arieh Ben-Naim and co-workers.

BNS model

The BNS model was proposed by Ben-Naim and Stillinger [1].

Mercedes-Benz model

The so called Mercedes-Benz model of water is a two dimensional model proposed in 1971 [2][3]. The three dimensional version of the model [1] has been studied in [4][5].

Primitive model

[6] [7] [8] [9] [10]

Primitive cluster model

[11] [7] [8]

References

  1. 1.0 1.1 A. Ben-Naim and F.H. Stillinger "Aspects of the Statistical-Mechanical Theory of Water", in "Structure and Transport of Processes in Water and Aqueous Solutions", Wiley-Interscience, New York pp. 295-330 (1972) Cite error: Invalid <ref> tag; name "multiple1" defined multiple times with different content
  2. A. Ben-Naim "Statistical Mechanics of "Waterlike" Particles in Two Dimensions. I. Physical Model and Application of the Percus–Yevick Equation", Journal of Chemical Physics 54 pp. 3682-3695 (1971)
  3. A. Ben-Naim "Statistical mechanics of water-like particles in two-dimensions II. One component system", Molecular Physics 24 pp. 705-721 (1972)
  4. Cristiano L. Dias, Tapio Ala-Nissila, Martin Grant, and Mikko Karttunen "Three-dimensional “Mercedes-Benz” model for water", Journal of Chemical Physics 131 054505 (2009)
  5. Alan Bizjak, Tomaz Urbic, Vojko Vlachy, and Ken A. Dill "Theory for the three-dimensional Mercedes-Benz model of water", Journal of Chemical Physics 131 194504 (2009)
  6. Ben-Naim "Statistical Thermodynamics for Chemists and Biochemists", Plenum, New York (1992)
  7. 7.0 7.1 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. I. Pure liquid water", Journal of Chemical Physics 128 024505 (2008) Cite error: Invalid <ref> tag; name "multiple2" defined multiple times with different content
  8. 8.0 8.1 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. II. Solvation of inert solutes in water", Journal of Chemical Physics 128 024506 (2008) Cite error: Invalid <ref> tag; name "multiple3" defined multiple times with different content
  9. Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. III. Solvation of hard rods in aqueous mixtures", Journal of Chemical Physics 128 164507 (2008)
  10. Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. IV. A study of “hydrophobic interactions”", Journal of Chemical Physics 129 104506 (2008)
  11. Ronald A. Lovett and A. Ben-Naim "One-Dimensional Model for Aqueous Solutions of Inert Gases", Journal of Chemical Physics 51 pp. 3108-3119 (1969)
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