Percolation Theory - Different Models

Different Models

  • The first model studied was Bernoulli percolation. In this model all bonds are independent. This model is called bond percolation by physicists.
  • A generalization next was introduced as the Fortuin–Kasteleyn random cluster model, which has many connections with the Ising model and other Potts models.
  • Bernoulli (bond) percolation on complete graphs is an example of a random graph. The critical probability is p = 1/N.
  • Directed percolation, which has connections with the contact process.
  • First passage percolation.
  • Invasion percolation.
  • Percolation with dependency links was introduced by Parshani
  • Opinion Model

Read more about this topic:  Percolation Theory

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Famous quotes containing the word models:

    French rhetorical models are too narrow for the English tradition. Most pernicious of French imports is the notion that there is no person behind a text. Is there anything more affected, aggressive, and relentlessly concrete than a Parisan intellectual behind his/her turgid text? The Parisian is a provincial when he pretends to speak for the universe.
    Camille Paglia (b. 1947)

    The parents who wish to lead a quiet life I would say: Tell your children that they are very naughty—much naughtier than most children; point to the young people of some acquaintances as models of perfection, and impress your own children with a deep sense of their own inferiority. You carry so many more guns than they do that they cannot fight you. This is called moral influence and it will enable you to bounce them as much as you please.
    Samuel Butler (1835–1902)