Hertzian sphere model: Difference between revisions
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Carl McBride (talk | contribs) (New page: The '''Hertzian sphere model''' is given by <ref>[http://dx.doi.org/10.1063/1.3186742 Josep C. Pàmies, Angelo Cacciuto, and Daan Frenkel "Phase diagram of Hertzian spheres", Journal of Ch...) |
Carl McBride (talk | contribs) m (Added a plot of the Hertzian sphere potential) |
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where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2. <math>\sigma</math> represents a length scale and <math>\epsilon</math> an energy. In the limit <math>k_BT/\epsilon \rightarrow 0</math> this potential becomes the [[hard sphere model]]. | where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2. <math>\sigma</math> represents a length scale and <math>\epsilon</math> an energy. In the limit <math>k_BT/\epsilon \rightarrow 0</math> this potential becomes the [[hard sphere model]]. For example, for <math>\epsilon=10</math> the potential looks like | ||
:[[Image:Hertzian_sphere.png|500px]] | |||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: models]] | [[category: models]] | ||
Revision as of 16:13, 6 April 2010
The Hertzian sphere model is given by [1] (Eq. 1):
where is the intermolecular pair potential, is the distance between site 1 and site 2. represents a length scale and an energy. In the limit this potential becomes the hard sphere model. For example, for the potential looks like
