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 et.al.
  • Opinion Model

Read more about this topic:  Percolation Theory

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