## Abstract

This is an attempt to redefine [Formula Presented]-branch subsets in off-lattice two-dimensional diffusion-limited aggregation simulations, where [Formula Presented] is the number of particles of a branch which lacks a hierarchy of order. In our simulations, the total number of aggregated particles [Formula Presented] behaves as [Formula Presented] where [Formula Presented] is the radius of gyration of the cluster and [Formula Presented] is the fractal dimension. The number of [Formula Presented]-branch subsets [Formula Presented] depends on [Formula Presented] as [Formula Presented] and the subsets are [Formula Presented]-dimensional self-similar fractals. These results show that the probability distribution of the subsets is stable, and has a peak at [Formula Presented] and that the subset at [Formula Presented] is the most observable of all the subsets independent of time.

Original language | English |
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Pages (from-to) | 6202-6205 |

Number of pages | 4 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 57 |

Issue number | 5 |

DOIs | |

Publication status | Published - Jan 1 1998 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)