Hertzian sphere model
From SklogWiki
The Hertzian sphere model is given by
\[ \Phi_{12}\left( r \right) = \left\{ \begin{array}{lll} \epsilon (1-r/\sigma)^{5/2} & ; & r < \sigma \\ 0 & ; & r \geq \sigma \end{array} \right. \]
where \( \Phi_{12}\left( r \right) \) is the intermolecular pair potential, \(r := |\mathbf{r}_1 - \mathbf{r}_2|\) is the distance between site 1 and site 2. \(\sigma\) represents a length scale and \(\epsilon\) an energy. In the limit \(k_BT/\epsilon \rightarrow 0\) this potential becomes the hard sphere model. For example, for \(\epsilon=10\) the potential looks like
[edit] See also
[edit] References
- ↑ Josep C. Pàmies, Angelo Cacciuto, and Daan Frenkel "Phase diagram of Hertzian spheres", Journal of Chemical Physics 131 044514 (2009)
- Related reading
- Jian Yang and Kenneth S. Schweizer "Glassy dynamics and mechanical response in dense fluids of soft repulsive spheres. I. Activated relaxation, kinetic vitrification, and fragility", Journal of Chemical Physics 134 204908 (2011)
- Jian Yang and Kenneth S. Schweizer "Glassy dynamics and mechanical response in dense fluids of soft repulsive spheres. II. Shear modulus, relaxation-elasticity connections, and rheology", Journal of Chemical Physics 134 204909 (2011)
