Variable size particle probing of the DLA cluster properties

Abstract

We develop a technique for probing harmonic measure of the diffusion limited aggregation (DLA) cluster surface with the variable size particle and generate one thousand clusters with 50 million particles using original off-lattice killing-free algorithm. Taking, in sequence, the limit of the vanishing size of the probing particles and then sending the growing cluster size to infinity, we achieve the unprecedented accuracy determining the fractal dimension, D=1.7100(2) crucial to characterization of geometric properties of the DLA clusters.

4 pages, 5 figures

References in corpus (5)

• Laplacian growth as one-dimensional turbulence
• Convergent Calculation of the Asymptotic Dimension of Diffusion Limited Aggregates: Scaling and Renormalization of Small Clusters
• Multiscaling analysis and width of the active zone of large off-lattice DLA
• Renormalization Theory of Stochastic Growth
• Test of multiscaling in DLA model using an off-lattice killing-free algorithm

Cited by in corpus (2)

• Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles
• Morphological diagram of diffusion driven aggregate growth in plane: competition of anisotropy and adhesion