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The page treats the models for [[water]] proposed over the years by Arieh Ben-Naim and co-workers.
 
The page treats the models for [[water]] proposed over the years by Arieh Ben-Naim and co-workers.
 
==BNS model==
 
==BNS model==
The '''BNS''' model was proposed by Ben-Naim and Stillinger <ref name="multiple1">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)</ref>.
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The '''BNS''' model was proposed by Ben-Naim and Stillinger <ref>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)</ref>.
 
==Mercedes-Benz model==
 
==Mercedes-Benz model==
The so called '''Mercedes-Benz''' model of water is a two dimensional model proposed in 1971 <ref>[http://dx.doi.org/10.1063/1.1675414 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)]</ref><ref>[http://dx.doi.org/10.1080/00268977200101851 A. Ben-Naim "Statistical mechanics of water-like particles in two-dimensions II. One component system", Molecular Physics '''24''' pp. 705-721 (1972)]</ref>. The three dimensional version of the model <ref name="multiple1"> </ref> has been  studied in <ref>[http://dx.doi.org/10.1063/1.3183935 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)]</ref><ref>[http://dx.doi.org/10.1063/1.3259970 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)]</ref>.
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The so called '''Mercedes-Benz''' model of water is a two dimensional model proposed in 1971 <ref>[http://dx.doi.org/10.1063/1.1675414 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)]</ref><ref>[http://dx.doi.org/10.1080/00268977200101851 A. Ben-Naim "Statistical mechanics of water-like particles in two-dimensions II. One component system", Molecular Physics '''24''' pp. 705-721 (1972)]</ref>. The three dimensional version of the model has been  studied in <ref>[http://dx.doi.org/10.1063/1.3183935 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)]</ref><ref>[http://dx.doi.org/10.1063/1.3259970 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)]</ref>.
 
==Primitive model==
 
==Primitive model==
 
<ref>Ben-Naim "Statistical Thermodynamics for Chemists and Biochemists", Plenum, New York (1992)</ref>
 
<ref>Ben-Naim "Statistical Thermodynamics for Chemists and Biochemists", Plenum, New York (1992)</ref>
<ref name="multiple2" >[http://dx.doi.org/10.1063/1.2818051 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. I. Pure liquid water", Journal of Chemical Physics '''128''' 024505 (2008)]</ref>
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<ref>[http://dx.doi.org/10.1063/1.2818051 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. I. Pure liquid water", Journal of Chemical Physics '''128''' 024505 (2008)]</ref>
<ref name="multiple3">[http://dx.doi.org/10.1063/1.2818067 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)]</ref>
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<ref>[http://dx.doi.org/10.1063/1.2818067 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)]</ref>
 
<ref>[http://dx.doi.org/10.1063/1.2899730 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)]</ref>
 
<ref>[http://dx.doi.org/10.1063/1.2899730 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)]</ref>
 
<ref>[http://dx.doi.org/10.1063/1.2976442 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. IV. A study of “hydrophobic interactions”",  Journal of Chemical Physics '''129''' 104506 (2008)]</ref>
 
<ref>[http://dx.doi.org/10.1063/1.2976442 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. IV. A study of “hydrophobic interactions”",  Journal of Chemical Physics '''129''' 104506 (2008)]</ref>
 
==Primitive cluster model==
 
==Primitive cluster model==
 
<ref>[http://dx.doi.org/10.1063/1.1672463 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)]</ref>
 
<ref>[http://dx.doi.org/10.1063/1.1672463 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)]</ref>
<ref name="multiple2" > </ref>
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<ref>[http://dx.doi.org/10.1063/1.2818051 Arieh Ben-Naim "One-dimensional model for water and aqueous solutions. I. Pure liquid water", Journal of Chemical Physics '''128''' 024505 (2008)]</ref>
<ref name="multiple3" > </ref>
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<ref>[http://dx.doi.org/10.1063/1.2818067 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)]</ref>
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==References==
 
==References==
 
<references/>
 
<references/>

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