Abstract

We present methods for simulating very large diffusion-limited aggregation (DLA) clusters using parallel processing (PDLA). With our techniques, we have been able to simulate clusters of up to 130 million particles. The time required for generating a 100 million particle PDLA is approximately 13 h. The fractal behavior of these ''parallel'' clusters changes from a multiparticle aggregation dynamics to the usual DLA dynamics. The transition is described by simple scaling assumptions that define a characteristic cluster size separating the two dynamical regimes. We also use DLA clusters as seeds for parallel processing. In this case, the transient regime disappears and the dynamics converges from the early stage to that of DLA.

Notes

Originally published in Physical Review E, v.52 no.5 (1995), pp.5602-5609. DOI:10.1103/PhysRevE.52.5602. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

simulation, diffusion-limited aggregation (DLA), clusters, parallel processing, PDLA

Subject Categories

Fractals

Disciplines

Physics

Publisher

American Physical Society

Publication Date

11-1-1995

Rights Information

©1995 American Physical Society

Rights Holder

American Physical Society

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