Complexity Explorer Santa Few Institute

Computation in Complex Systems (Spring 2022)

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This course is no longer in session.

4.2 Phase Transitions » Site Percolation demonstration

Site Percolation: demonstration

Site percolation applies to the spread of information. Information here can take many forms - for instance, a virus spreading in the population or a wildfire spreading in a forest. The substrate over which the information spreads is modeled as a lattice. The lattice can have different porosities, or densities - for instance, the percentage of people susceptible to the virus or the percentage of forest area occupied by trees. There is a threshold density at which the spread of information is complete, i.e. traverses the lattice from end to end.

The demonstration depicts percolation as flow into a porous lattice - imagine water dripping into a filter full of ground coffee. The flow starts from the top of the diagram. You can change the porosity of the lattice to discover the conditions that allow the flow to traverse the lattice - that allow you to make coffee.