### 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 |
---|---|

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 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

**Probability distribution of [Formula Presented]-branch subsets in diffusion-limited aggregation.** / Honjo, Haruo; Ohta, Shonosuke.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 57, no. 5, pp. 6202-6205. https://doi.org/10.1103/PhysRevE.57.6202

}

TY - JOUR

T1 - Probability distribution of [Formula Presented]-branch subsets in diffusion-limited aggregation

AU - Honjo, Haruo

AU - Ohta, Shonosuke

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000916244&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000916244&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.57.6202

DO - 10.1103/PhysRevE.57.6202

M3 - Article

AN - SCOPUS:0000916244

VL - 57

SP - 6202

EP - 6205

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

ER -