During the last five decades, percolation theory, an extensive mathematical model of percolation, has brought new understanding and techniques to a broad range of topics in physics, materials science, complex networks, epidemiology, and other fields . For example, in geology, percolation refers to filtration of water through soil and permeable rocks. The water flows to groundwater storage (aquifers)
Due to the complexity involved in obtaining exact results from analytical models of percolation, computer simulations are typically used. The current fastest algorithm for percolation was published in 2000 by Mark Newman and Robert Ziff.
Coffee percolation, where the solvent is water, the permeable substance is the coffee grounds, and the soluble constituents are the chemical compounds that give coffee its color, taste, and aroma
Movement of weathered material down on a slope under the earth's surface
Cracking of trees with the presence of two conditions, sunlight and under the influence of pressure
Robustness of networks to random and targeted attacks