Double square well model: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) m (Added a comment.) |
Carl McBride (talk | contribs) m (Added a recent publication) |
||
(One intermediate revision by the same user not shown) | |||
Line 1: | Line 1: | ||
{{stub-general}} | {{stub-general}} | ||
The '''double square well model''' can be seen as a variant (or ''vice versa'') of the [[square shoulder + square well model]]. | 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> | |||
\Phi_{12}\left( r \right) = | |||
\left\{ \begin{array}{ccc} | |||
\infty & ; & r < \sigma \\ | |||
- \epsilon_1 & ; &\sigma \le r < \lambda_1 \sigma \\ | |||
- \epsilon_2 & ; &\lambda_1\sigma \le r < \lambda_2 \sigma \\ | |||
0 & ; & r \ge \lambda_2 \sigma \end{array} \right. | |||
</math> | |||
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> | |||
==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