# Difference between revisions of "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. | 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 | + | 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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==Mercedes-Benz model== | ==Mercedes-Benz model== | ||

− | The so called '''Mercedes-Benz''' model of water is a two dimensional model proposed in 1971 | + | 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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==Primitive model== | ==Primitive model== | ||

− | + | <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> | |

− | + | <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> | |

− | + | <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> | ||

==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 name="multiple2" > </ref> | |

− | + | <ref name="multiple3" > </ref> | |

− | + | ==References== | |

+ | <references/> | ||

+ | ;Related reading | ||

+ | *[http://dx.doi.org/10.1063/1.4977214 T. Urbic and T. Mohoric "Effects of translational and rotational degrees of freedom on properties of the Mercedes–Benz water model", Journal of Chemical Physics '''146''' 094505 (2017)] | ||

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[[category:water]] | [[category:water]] | ||

[[category:models]] | [[category:models]] |

## Latest revision as of 17:33, 13 March 2017

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

## BNS model[edit]

The **BNS** model was proposed by Ben-Naim and Stillinger ^{[1]}.

## Mercedes-Benz model[edit]

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[edit]

^{[6]}
^{[7]}
^{[8]}
^{[9]}
^{[10]}

## Primitive cluster model[edit]

^{[11]}
^{[7]}
^{[8]}

## References[edit]

- ↑
^{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)

- Related reading