**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 p_{c} a giant cluster is formed and we have a second order phase transition. The behavior of P_{∞} near p_{c} is, P_{∞}~(p-p_{c})β, where β is a critical exponent.

Read more about this topic: Phase Transition, 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 ...

Phase Changes - Characteristic Properties -

... phenomenon which shows phase transitions and critical exponents is

**Percolation Theory**... phenomenon which shows phase transitions and critical exponents is

**percolation**... The simplest example is perhaps**percolation**in a two dimensional square lattice ...Critical Exponent -

... Phase transitions and critical exponents appear also in

**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 ...### Famous quotes containing the word theory:

“No *theory* is good unless it permits, not rest, but the greatest work. No *theory* is good except on condition that one use it to go on beyond.”

—André Gide (1869–1951)

Related Subjects

Related Phrases

Related Words