Percolation Theory
Another phenomenon which shows phase transitions and critical exponents is percolation. The simplest example is perhaps percolation in a two dimensional square lattice. Sites are randomly occupied with probability p. For small values of p the occupied sites form only small clusters. At a certain threshold pc a giant cluster is formed and we have a second order phase transition. The behavior of P∞ near pc is, P∞~(p-pc)β, where β is a critical exponent.
Read more about this topic: Phase Changes, Characteristic Properties
Other articles related to "percolation theory, percolation":
Percolation Theory - Different Models
... The first model studied was Bernoulli percolation ... This model is called bond percolation by physicists ... Bernoulli (bond) percolation on complete graphs is an example of a random graph ...
... The first model studied was Bernoulli percolation ... This model is called bond percolation by physicists ... Bernoulli (bond) percolation on complete graphs is an example of a random graph ...
Critical Exponent - Percolation Theory
... Phase transitions and critical exponents appear also in percolation processes where the concentration of occupied sites or links play the role of temperature ...
... Phase transitions and critical exponents appear also in percolation processes where the concentration of occupied sites or links play the role of temperature ...
Phase Changes - Characteristic Properties - Percolation Theory
... Another phenomenon which shows phase transitions and critical exponents is percolation ... The simplest example is perhaps percolation in a two dimensional square lattice ...
... Another phenomenon which shows phase transitions and critical exponents is percolation ... The simplest example is perhaps percolation in a two dimensional square lattice ...
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