One Dimensional DLA

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Microsoft Research
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Published on ● Video Link: https://www.youtube.com/watch?v=yl9n1W3EiwY


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Diffusion Limited Aggregation (DLA) is a notoriously difficult model for crystal growth introduced in 1981 by Sander and Witten. We consider a variation on DLA in 1 dimension generated by a random walk with large jumps. The growth rate of the diameter of the N particle aggregate depends on the tail of the step distribution, and exhibits three phase transitions when the walk steps have 1, 2 or 3 finite moments.



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