Phys. Rev. E 63, 046117 (2001) [15 pages]Diffusion-limited aggregation as a Markovian process: Site-sticking conditionsReceived 20 September 2000; published 29 March 2001 Cylindrical lattice diffusion-limited aggregation, with a narrow width N, is solved for site-sticking conditions using a Markovian matrix method (which was previously developed for the bond-sticking case). This matrix contains the probabilities that the front moves from one configuration to another at each growth step, calculated exactly by solving the Laplace equation and using the proper normalization. The method is applied for a series of approximations, which include only a finite number of rows near the front. The fractal dimensionality of the aggregate is extrapolated to a value near 1.68. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.046117
DOI:
10.1103/PhysRevE.63.046117
PACS:
02.50.-r, 05.20.-y, 61.43.Hv
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