ROUGHENING AND NON-LINEAR DIFFUSION
Non-linear diffusion in the presence of random temporal and spatial perturbations
phenomena are described by non-linear diffusion:
The formation of landscape and river networks in geology
Fluid transport in porous media (e.g. important for oil extraction).
Growth patterns of bacterial colonies.
Growth of interfaces between thermodynamic phases.
Kinetic roughening phenomena during deposition of materials.
Development of the fire-front of forest fires and in the slow combustion of paper.
Start and deployment of avalanches in snow and mud, but also in superconductors
(leading to the quenching of
Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett.
6, 889 (1986)