### Abstract

It is shown that for collision cascades the global fractal dimension cannot give an adequate description of the geometrical structure because it is insensitive to the internal anisotropy of the object arising from the directionality of cascade branches. In order to give a more elaborate description of the cascade, we introduce an angular correlation function, which takes into account the direction of the local growth of the branches of the cascades. It is demonstrated that the angular correlation function gives a quantitative description of the directionality and the interrelation of branches of the cascade. The power law decay of the angular correlation is evidenced and characterized by an exponent β and an angular correlation length R_{a} different from the radius of gyration R. It is demonstrated that the overlapping of subcascades has a strong effect on the angular correlation.

Original language | English |
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Pages (from-to) | 2019-2024 |

Number of pages | 6 |

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

Volume | 56 |

Issue number | 2 |

Publication status | Published - Aug 1997 |

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### ASJC Scopus subject areas

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

### Cite this

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

*56*(2), 2019-2024.

**Internal anisotropy of collision cascades.** / Kun, F.; Bardos, G.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 56, no. 2, pp. 2019-2024.

}

TY - JOUR

T1 - Internal anisotropy of collision cascades

AU - Kun, F.

AU - Bardos, G.

PY - 1997/8

Y1 - 1997/8

N2 - It is shown that for collision cascades the global fractal dimension cannot give an adequate description of the geometrical structure because it is insensitive to the internal anisotropy of the object arising from the directionality of cascade branches. In order to give a more elaborate description of the cascade, we introduce an angular correlation function, which takes into account the direction of the local growth of the branches of the cascades. It is demonstrated that the angular correlation function gives a quantitative description of the directionality and the interrelation of branches of the cascade. The power law decay of the angular correlation is evidenced and characterized by an exponent β and an angular correlation length Ra different from the radius of gyration R. It is demonstrated that the overlapping of subcascades has a strong effect on the angular correlation.

AB - It is shown that for collision cascades the global fractal dimension cannot give an adequate description of the geometrical structure because it is insensitive to the internal anisotropy of the object arising from the directionality of cascade branches. In order to give a more elaborate description of the cascade, we introduce an angular correlation function, which takes into account the direction of the local growth of the branches of the cascades. It is demonstrated that the angular correlation function gives a quantitative description of the directionality and the interrelation of branches of the cascade. The power law decay of the angular correlation is evidenced and characterized by an exponent β and an angular correlation length Ra different from the radius of gyration R. It is demonstrated that the overlapping of subcascades has a strong effect on the angular correlation.

UR - http://www.scopus.com/inward/record.url?scp=6244261923&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6244261923&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:6244261923

VL - 56

SP - 2019

EP - 2024

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 2

ER -