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How to grow isotropic on-lattice diffusion-limited aggregates

Vladislav A Bogoyavlenskiy1

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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.


PACS

61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82B24 Interface problems; diffusion-limited aggregation

62H30 Classification and discrimination; cluster analysis (See also 68T10)

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 11 (22 March 2002)

Received 22 October 2001, in final form 7 February 2002

Published 8 March 2002



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