Internal anisotropy of collision cascades

F. Kun, G. Bardos

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 Ra different from the radius of gyration R. It is demonstrated that the overlapping of subcascades has a strong effect on the angular correlation.

Original languageEnglish
Pages (from-to)2019-2024
Number of pages6
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number2
Publication statusPublished - Aug 1997

Fingerprint

angular correlation
Cascade
Anisotropy
cascades
Collision
Internal
anisotropy
collisions
Branch
Correlation Function
Global Dimension
gyration
Correlation Length
Fractal Dimension
Overlapping
fractals
Power Law
Exponent
Radius
exponents

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 56, No. 2, 08.1997, p. 2019-2024.

Research output: Contribution to journalArticle

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