Dynamic Processes in Disordered Media

In this chapter we start to address dynamical processes that generate percolation-like disordered structures. We will address the scaling behavior of diffusion fronts for diffusion in disordered media, and develop a theory for the front width. We will address the slow displacement of fluids in porous media with the invasion-percolation model. For this model, we will map the model onto a percolation system and demonstrate how the model changes with the introduction of an additional aspects, gravity.