Percolation threshold is a mathematical term related to percolation theory, which is 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. In engineering and coffee making, percolation represents the flow of fluids through porous media, but in the mathematics and physics worlds it generally refers to simplified lattice models of random systems or networks (graphs), and the nature of the connectivity in them. The percolation threshold is the critical value of the occupation probability p, or more generally a critical surface for a group of parameters p1, p2, ..., such that infinite connectivity (percolation) first occurs.
Read more about Percolation Threshold: Percolation Models, Thresholds On Archimedean Lattices, Square Lattice With Complex Neighborhoods, Approximate Formulas For Thresholds of Archimedean Lattices, Formulas For Site-bond Percolation, Archimedean Duals (Laves Lattices), 2-Uniform Lattices, Inhomogeneous 2-Uniform Lattice, Thresholds On 2D Bowtie and Martini Lattices, Thresholds On Other 2D Lattices, Thresholds On Subnet Lattices, Thresholds of Dimers A Square Lattice, Thresholds of Polymers (random Walks) On A Square Lattice, Thresholds of Self-avoiding Walks of Length K Added By Random Sequential Adsorption, Thresholds On 2D Inhomogeneous Lattices, Thresholds For 2D Continuum Models, Thresholds On 2D Random and Quasi-lattices, Thresholds On Slabs, Thresholds On 3D Lattices, Thresholds For 3D Continuum Models, Thresholds On Hypercubic Lattices, Thresholds On Kagome Lattices in Higher Dimensions, Thresholds On Hyperbolic, Hierarchical, and Tree Lattices, Thresholds For Directed Percolation, General Formulas For Exact Results, Percolation Thresholds of Graphs, See Also
Famous quotes containing the word threshold:
“Happy is that mother whose ability to help her children continues on from babyhood and manhood into maturity. Blessed is the son who need not leave his mother at the threshold of the world’s activities, but may always and everywhere have her blessing and her help. Thrice blessed are the son and the mother between whom there exists an association not only physical and affectional, but spiritual and intellectual, and broad and wise as is the scope of each being.”
—Lydia Hoyt Farmer (1842–1903)