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| {{stub-general}} | | {{stub-general}} |
| The '''double square well model''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.81.4895 M. Reza Sadr-Lahijany, Antonio Scala, Sergey V. Buldyrev, and H. Eugene Stanley "Liquid-State Anomalies and the Stell-Hemmer Core-Softened Potential", Physical Review Letters '''81''' pp. 4895-4898 (1998)]</ref> can be seen as a variant (or ''vice versa'') of the [[square shoulder + square well model]]. In other words | | The '''double square well model''' can be seen as a variant (or ''vice versa'') of the [[square shoulder + square well model]]. |
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| :<math>
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| \Phi_{12}\left( r \right) =
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| \left\{ \begin{array}{ccc}
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| \infty & ; & r < \sigma \\
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| - \epsilon_1 & ; &\sigma \le r < \lambda_1 \sigma \\
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| - \epsilon_2 & ; &\lambda_1\sigma \le r < \lambda_2 \sigma \\
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| 0 & ; & r \ge \lambda_2 \sigma \end{array} \right.
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| </math>
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| | |
| where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon_1</math> and <math>\epsilon_2</math> are the well ''depths'' (<math>\epsilon_1,\epsilon_2>0</math>), <math>r</math> is the distance between site 1 and site 2 where <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, σ is the hard core diameter
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| and <math>\lambda_1,\lambda_2>1</math>
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| ==Two-dimensional system==
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| <ref>[http://dx.doi.org/10.1063/1.4735093 Ahmad M. Almudallal, Sergey V. Buldyrev, and Ivan Saika-Voivod "Phase diagram of a two-dimensional system with anomalous liquid properties", Journal of Chemical Physics '''137''' 034507 (2012)]</ref>
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| ==References== | | ==References== |
| <references/>
| | #[http://dx.doi.org/10.1063/1.3043571 J. R. Solana "Thermodynamic properties of double square-well fluids: Computer simulations and theory", Journal of Chemical Physics '''129''' 244502 (2008)] |
| ;Related reading
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| *[http://dx.doi.org/10.1063/1.3043571 J. R. Solana "Thermodynamic properties of double square-well fluids: Computer simulations and theory", Journal of Chemical Physics '''129''' 244502 (2008)]
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| [[category: models]] | | [[category: models]] |