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Percolation
In physics, chemistry and materials science, percolation concerns also the movement and filtration|filtering of fluids through porous materials. Examples include the movement of solvents through filter paper (chromatography) and the movement of petroleum through fractured rock. Electrical analogs include the flow of electricity through random resistor networks. During the last three 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 as well as geography.
Percolation typically exhibits universality (dynamical systems)|universality. Combinatorics is commonly employed to study percolation thresholds.
See also
- Conductance (graph)
- Self-organization
- Self-organized criticality
- Percolation threshold
- Groundwater recharge
References
- Harry Kesten, What is percolation? ''Notices of the AMS'', May 2006.
- Muhammad Sahimi. ''Applications of Percolation Theory.'' Taylor & Francis, 1994. ISBN 0-7484-0075-3 (cloth), ISBN 0-7484-0076-1 (paper)
- Geoffrey Grimmett. ''Percolation (2. ed).'' Springer Verlag, 1999.
External links
- Visual simulation of bond percolation. This application shows 38x38 bond percolation square lattice. The percolation threshold is reached when the slider position corresponds to p = 0.5
Category:Systems theory
Category:Combinatorics
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