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 [Formula Presented] and an angular correlation length [Formula Presented] different from the radius of gyration [Formula Presented]. It is demonstrated that the overlapping of subcascades has a strong effect on the angular correlation.
|Number of pages||6|
|Journal||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - Jan 1 1997|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics