recruitment log-normal¶
Module: solid
Category: materialprop
Type string: "recruitment log-normal"
Parameters¶
| Name | Description | Default | Units |
|---|---|---|---|
mu |
mu | 1 | [] |
sigma |
sigma | 1 | [] |
max |
max recruitment increase | 0 | [] |
Description¶
The material type for a log-normal recruitment function is recruitment log-normal.
For this material the recruitment function is given by
\[
F\left(\Xi\right)=1+\frac{r}{2}\text{erfc}\left[-\frac{\ln\left(\Xi/\mu\right)}{\sigma\sqrt{2}}\right]\,.
\]
Its minimum value is 1 and its maximum value is \(1+r\) as \(\Xi/\mu\to\infty\).
Example:
<recruitment type="recruitment log-normal">
<mu>0.3</mu>
<sigma>0.25</sigma>
<max>4</max>
</recruitment>