Diffusion-limited aggregation as Markovian process: Site-sticking conditions - art. no. 046117

Cylindrical lattice diffusion-limited aggregation, with a narrow width N, i s solved for. site-sticking conditions using a Markovian matrix method (whi ch was previously developed for the bond-sticking case). This matrix contai ns the probabilities that the front moves from one configuration to another at each growth step, calculated exactly by solving the Laplace equation an d using the proper normalization. The method is applied for a series of app roximations, 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.