Ramp model: Difference between revisions

Revision as of 10:11, 22 March 2007

The Ramp model is described by:

u (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 $W_{r} > 0$ 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: @@
-[[Image:Ramp_potential.png|thumb|right]]
 The '''Ramp''' model is described by:
@@ Line 13: / Line 12: @@
 where <math>W_r > 0</math> and <math>W_a < 0</math>.
+Graphically, one has:
+[[Image:Ramp_potential.png|center]]
+where the red line represents an attractive implementation of the model, and the green line  a repulsive implementation.