Percolation

Abstract

Percolation means the passage of a liquid through a porous medium. It can be understood as a random process, as much as diffusion is a random process. However, there is a fundamental difference between the two processes. In diffusion, particles with random motion spread in a deterministic medium, in percolation, particles with deterministic motion spread on a random medium. Since the motion is deterministic, the percolation models focus on the description of the medium through which the particles move, understood as a porous medium. We imagine the porous medium as a solid material inside which there is a certain number of porous localized randomly. If the number of porous is large enough, they are connected and the medium is permeable to the passage of the liquid.