Abbas Ali Saberi 2009 J. Phys.: Condens. Matter 21 465106 doi:10.1088/0953-8984/21/46/465106
Abbas Ali Saberi
Show affiliationsWe show that various surface parameters in two-dimensional diffusion limited aggregation (DLA) grow linearly with the number of particles. We find the ratio of the average length of the perimeter and the accessible perimeter of a DLA cluster together with its external perimeters to the cluster size, and define a microscopic schematic procedure for attachment of an incident new particle to the cluster. We measure the fractal dimension of the red sites (i.e., the sites such that cutting each of them splits the cluster) as equal to that of the DLA cluster. It is also shown that the average number of dead sites and the average number of red sites have linear relationships with the cluster size.
61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)
Issue 46 (18 November 2009)
Received 12 August 2009, in final form 23 September 2009
Published 26 October 2009
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