Continuous shouldered well model: Difference between revisions
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*[http://dx.doi.org/10.1063/1.3463424 Pol Vilaseca and Giancarlo Franzese "Softness dependence of the anomalies for the continuous shouldered well potential", Journal of Chemical Physics '''133''' 084507 (2010)] | *[http://dx.doi.org/10.1063/1.3463424 Pol Vilaseca and Giancarlo Franzese "Softness dependence of the anomalies for the continuous shouldered well potential", Journal of Chemical Physics '''133''' 084507 (2010)] | ||
*[http://dx.doi.org/10.1063/1.4809744 Matej Huš , Matja Zalar and Tomaz Urbic "Correctness of certain integral equation theories for core-softened fluids", Journal of Chemical Physics '''138''' 224508 (2013)] | *[http://dx.doi.org/10.1063/1.4809744 Matej Huš , Matja Zalar and Tomaz Urbic "Correctness of certain integral equation theories for core-softened fluids", Journal of Chemical Physics '''138''' 224508 (2013)] | ||
*[http://dx.doi.org/10.1063/1.4909550 L. A. Cervantes, G. Jaime-Muñoz, A. L. Benavides, J. Torres-Arenas, and F. Sastre "Discrete perturbation theory for continuous soft-core potential fluids", Journal of Chemical Physics '''142''' 114501 (2015)] | |||
[[Category: Models]] | [[Category: Models]] | ||
Revision as of 13:39, 23 March 2015
The continuous shouldered well model (CSW) is given by ([1] Eq. 1):
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi _{12}(r)={\frac {U_{R}}{1+\exp[\Delta (r-R_{R})/a]}}-U_{A}\exp \left[-{\frac {(r-R_{A})^{2}}{2\delta _{A}^{2}}}\right]+\left({\frac {a}{r}}\right)^{24}}
where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi _{12}} is the intermolecular pair potential, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle U_{R}} is the energy of the repulsive shoulder, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle U_A} is the energy of the attractive well, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is the diameter of the particles, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r := |\mathbf{r}_1 - \mathbf{r}_2|} .
References
Related reading
- Alan Barros de Oliveira, Giancarlo Franzese, Paulo A. Netz, and Marcia C. Barbosa "Waterlike hierarchy of anomalies in a continuous spherical shouldered potential", Journal ofChemical Physics 128 064901 (2008)
- Pol Vilaseca and Giancarlo Franzese "Softness dependence of the anomalies for the continuous shouldered well potential", Journal of Chemical Physics 133 084507 (2010)
- Matej Huš , Matja Zalar and Tomaz Urbic "Correctness of certain integral equation theories for core-softened fluids", Journal of Chemical Physics 138 224508 (2013)
- L. A. Cervantes, G. Jaime-Muñoz, A. L. Benavides, J. Torres-Arenas, and F. Sastre "Discrete perturbation theory for continuous soft-core potential fluids", Journal of Chemical Physics 142 114501 (2015)