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DY: Fachverband Dynamik und Statistische Physik

DY 23: Finite size effects at phase transitions III (session accompanying the symposium of the same name)

DY 23.1: Vortrag

Mittwoch, 28. März 2007, 15:45–16:00, H3

Probing surface characteristics of diffusion-limited aggregation clusters with particles of variable size — •Lev Shchur — Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia

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.