Ramp model: Difference between revisions

Revision as of 14:57, 21 June 2007

The ramp model is described by:

Φ (r) = {\begin{matrix} \infty & r < σ \\ W_{r} - (W_{r} - W_{a}) \frac{r - σ}{d_{a} - σ} & σ \leq r \leq d_{a} \\ W_{a} - W_{a} \frac{r - d_{a}}{d_{c} - d_{a}} & d_{a} < r \leq d_{c} \\ 0 & r > d_{c} \end{matrix}

where $Φ (r)$ is the intermolecular pair potential, $W_{r} > 0$ and $W_{a} < 0$ .

Graphically, one has:

where the red line represents an attractive implementation of the model, and the green line a repulsive implementation.

@@ Line 1: / Line 1: @@
-The '''Ramp''' model is described by:
+The '''ramp model''' is described by:
 :<math>
-u(r) = \left\{
+\Phi(r) = \left\{
 \begin{array}{ll}
 \infty & {\rm if} \; r < \sigma \\
@@ Line 11: / Line 11: @@
 </math>
-where <math>W_r > 0</math> and <math>W_a < 0</math>.
+where <math>\Phi(r)</math> is the [[intermolecular pair potential]], <math>W_r > 0</math> and <math>W_a < 0</math>.
 Graphically, one has: