Abstract
An improved algorithm has been used to simulate off-lattice diffusion-limited aggregation (DLA) in two dimensions. This enables us to grow clusters of up to 6 × 10 6 particles, which are the largest such clusters made up to now. The density profile in two dimensions is analyzed for the scaling form (multiscaling) g( r, R) = r − d + D( x) C( x) with x = r R , where R is the radius of gyration and r is the distance from the cluster origin. In contrast with previous studies, the dimension D( x) shows no symmetric tendency to drop at values of x but only fluctuates around the global fractal dimension D = 1.712 ± 0.003.
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