DYNAMIC SCALING PROPERTIES OF INVASION PERCOLATION SOS INTERFACES IN POROUS-MEDIA

We introduce an invasion percolation (IP) model to study the scaling p roperties of rough interfaces with a solid-on-solid (SOS) restriction for a driven interface in a two dimensional disordered medium. A remar kable characteristic of our model is the absence of an external parame ter, such as the occupation probability p(c) in pinning interface mode ls used previously to simulate the rough interface displacement in ran dom media. In our model the interface always advances and there is no pinning. The exponents corresponding to temporal and spacial scaling o f the interface obtained with our IP model are in good agreement with previous theoretical and experimental results.