Double square well model: Difference between revisions
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The '''double square well model''' can be seen as a variant (or ''vice versa'') of the [[square shoulder + square well model]]. In other words | 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 | ||
:<math> | :<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 | 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 | ||
and <math>\lambda_1,\lambda_2>1</math> | and <math>\lambda_1,\lambda_2>1</math> | ||
==Two-dimensional system== | |||
<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> | |||
==References== | ==References== | ||
<references/> | |||
;Related reading | |||
*[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)] | |||
[[category: models]] | [[category: models]] |
Latest revision as of 15:51, 18 July 2012
The double square well model [1] can be seen as a variant (or vice versa) of the square shoulder + square well model. In other words
where is the intermolecular pair potential, and are the well depths (), is the distance between site 1 and site 2 where , σ is the hard core diameter and
Two-dimensional system[edit]
References[edit]
- ↑ 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)
- ↑ 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)
- Related reading