Scarp diffusion model
= Scarp diffusion model
{title2=$\partial_t h=\kappa\partial_x^2h$}
A simple model of hillslope smoothing in which sediment flux is proportional to negative slope. For constant transport coefficient $\kappa$, an ideal initial step broadens on scale $\sqrt{\kappa t}$. Real free-face collapse, nonlinear transport, changing climate and deposition can invalidate the linear <diffusion equation> approximation.