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What (who) is percolation$59044$ - definition
MATHEMATICAL THEORY CONCERNING THE BEHAVIOR OF CONNECTED CLUSTERS IN A RANDOM GRAPH
2D percolation cluster; 2D Percolation cluster; Percolative; Site percolation; Bond percolation
Percolation theory
In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected clusters merge into significantly larger connected, so-called spanning clusters.
Percolation threshold
D Kagome Lattice.png?width=200 "(1+1)D Kagome Lattice")
D Square Lattice.png?width=200 "(1+1)D Square Lattice")
D Triangular Lattice.png?width=200 "(1+1)D Triangular Lattice")
D BCC Lattice.png?width=200 "(2+1)D BCC Lattice")
D SC Lattice.png?width=200 "(2+1)D SC Lattice")
![Uniform tilings]], in which all polygons are regular and each vertex is surrounded by the same sequence of polygons. The notation "(3<sup>4</sup>, 6)", for example, means that every vertex is surrounded by four triangles and one hexagon. Some common names that have been given to these lattices are listed in the table below.](https://commons.wikimedia.org/wiki/Special:FilePath/Archimedean-Lattice.png?width=200 "Uniform tilings]], in which all polygons are regular and each vertex is surrounded by the same sequence of polygons. The notation \"(3<sup>4</sup>, 6)\", for example, means that every vertex is surrounded by four triangles and one hexagon. Some common names that have been given to these lattices are listed in the table below.")
![Voronoi diagram (solid lines) and its dual, the Delaunay triangulation (dotted lines), for a [[Poisson distribution]] of points](https://commons.wikimedia.org/wiki/Special:FilePath/VoronoiDelaunay.svg?width=200 "Voronoi diagram (solid lines) and its dual, the Delaunay triangulation (dotted lines), for a [[Poisson distribution]] of points")
THRESHOLD OF PERCOLATION THEORY MODELS
Percolation thresholds; Thresholds in networks
The percolation threshold is a mathematical concept in percolation theory that describes the formation of long-range connectivity in random systems. Below the threshold a giant connected component does not exist; while above it, there exists a giant component of the order of system size.
Percolation test
MEASURE OF THE ABSORPTION RATE OF SOIL
Perk test; Percolation testing; Perc test
A percolation test (colloquially called a perc test) is a test to determine the water absorption rate of soil (that is, its capacity for percolation) in preparation for the building of a septic drain field (leach field) or infiltration basin. The results of a percolation test are required to properly design a septic system.
Wikipedia
Percolation theory
In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected clusters merge into significantly larger connected, so-called spanning clusters. The applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles network theory and percolation.
