Monte Carlo Simulation of Large Eden Clusters on a Cray-2
One of the simplest mathematical models of growth is the Eden model1. Consider an Infinite square lattice in two dimensions with all lattice sites empty, except one single occupied site initially. The growth process then may be completely defined by the single sentence, to be applied recursively: Occupy at random one of the empty sites neighbouring an occupied site. In spite of this remarkably simple definition the objects generated by this procedure exhibit astonishingly complex properties.
KeywordsLine Length Eden Simulation Simple Mathematical Model Occupied Site Asymptotic Regime
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- 1.M. Eden, in “Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability”, F. Neyman, ed., University of California, Berkeley, 1961Google Scholar