How to grow isotropic on-lattice diffusion-limited aggregates

Vladislav A. Bogoyavlenskiy · Journal of Physics A Mathematical and General · 2002

We consider the problem of on-lattice cluster anisotropy in the diffusion-limited aggregation (DLA) model. On the basis of a recent paper (Bogoyavlenskiy V A 2001 Phys. Rev. E 64 066303), we derive an isotropic quadratic ratio for a set of aggregation probabilities, in order to grow on-lattice DLA clusters without anisotropy.

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