A Cellular Automata Model of the Percolation Process

A cellular automata model of a dynamic system has been created which predicts the concentration of onset and 50% probability of a spanning cluster existing which coincides with the percolation phenomenon. The valences of the cells at each concentration were monitored revealing patterns of diversity influenced by the joining and breaking rules of the simulation. The diversity of these cell valence types was quantified using the Shannon information content. The Shannon index curve versus the concentration of cells coincided almost exactly with the curve reflecting the fraction of the divalent cells at the same concentration. The simulation offers a useful solution to the difficult analysis of mobile or dynamic percolation characteristics.

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