# Ben-Naim models of water

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]}
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## Primitive cluster model

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## References

- ↑
^{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 - ↑ 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) - ↑ A. Ben-Naim "Statistical mechanics of water-like particles in two-dimensions II. One component system", Molecular Physics
**24**pp. 705-721 (1972) - ↑ 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) - ↑ 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) - ↑ Ben-Naim "Statistical Thermodynamics for Chemists and Biochemists", Plenum, New York (1992)
- ↑
^{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 - ↑
^{8.0}^{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 - ↑ 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) - ↑ Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. IV. A study of “hydrophobic interactions”", Journal of Chemical Physics
**129**104506 (2008) - ↑ 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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