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