Bernoulli Percolation

Percolation is the study of flow of fluid through porous media. Bernoulli percolation is a very simple model that features a widely-studied phase transition. The model comprises of a two dimensional grid of cell. The probability that the 'gate' between two cells is open, is given by the percolation probability. A connected group of cells will have the same colored fluid.


Warning: This simulation features rapidly strobing lights. It is not recommended for people with photosensitive epilepsy.




Vary the percolation probability from 0 to 1. Around 0.5, you should notice that a connected system that spans the entire landscape has come into existence. This cluster is called 'percolating cluster' or 'spanning cluster', and this transition is called 'percolation transition'.



Note:
  1. From 0.5 onwards, the dominant cluster changes color very often because it merges with many smaller cells with differently colored fluids.
  2. This simulation is computationally complex and may lag on lower end devices.
  3. Related: Porous Percolation, Directed Percolation, Contact Process.

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