Computer simulation of growing fractal nanodendrites by using of the multi-directed cellular automatic device

Computer simulation of self-assembly growth of fractal nanodendrites is suggested by using a new model of multi-directed cellular automatic device. The novelty is that in a framework of the multiparticle diffusion limited aggregation (DLA) model, atoms stick to the growing cluster according to specific kinematics multi-directional contact bonds. The aggregation is limited by initial concentration of particles confined inside definite nano-sized enclosures. Self-organizing process results in the formation of fractal dendrite nanostructures. From results of computer experiments, some equations for cluster fractal dimension D, depending on the initial concentration C of diffusing particles in 2d and 3d space enclosures, are deduced. Correlations between cluster fractal dimension D and number of aggregated particles N are found also.