Penetrable sphere model

From SklogWiki
Jump to: navigation, search

The penetrable sphere model is given by [1]:

\Phi_{12}\left( r \right) = 
\left\{ \begin{array}{ccc}
\epsilon & ; & r < \sigma \\

0         & ; & r \ge  \sigma \end{array} \right.

where \Phi_{12}(r) is the intermolecular pair potential, \epsilon is the hight of the repulsive core, r is the distance between site 1 and site 2 r := |\mathbf{r}_1 - \mathbf{r}_2| and \sigma is the radius of the core. Note: an earlier, different, penetrable sphere model was proposed, but is now known as the Widom-Rowlinson model. This model can be seen as the limiting case of the Gaussian overlap model where n \rightarrow \infty. In the limit \epsilon \rightarrow \infty one has the hard sphere model.