TY - JOUR
T1 - Angular gaps in radial diffusion-limited aggregation
T2 - Two fractal dimensions and nontransient deviations from linear self-similarity
AU - Mandelbrot, Benoit B.
AU - Kol, Boaz
AU - Aharony, Amnon
PY - 2002/2/4
Y1 - 2002/2/4
N2 - The identification of robust structural features of radial diffusion-limited aggregation (DLA) was presented. The distribution of the angular gaps between branches of off-lattice radial DLA was shown to approach a size-independent limit. The power-law expected from an asymptotic fractal dimensions occurred only for clusters significantly larger than M = 106 particles. An effective dimension around 1.67 was exhibited by the intermediate size gaps.
AB - The identification of robust structural features of radial diffusion-limited aggregation (DLA) was presented. The distribution of the angular gaps between branches of off-lattice radial DLA was shown to approach a size-independent limit. The power-law expected from an asymptotic fractal dimensions occurred only for clusters significantly larger than M = 106 particles. An effective dimension around 1.67 was exhibited by the intermediate size gaps.
UR - http://www.scopus.com/inward/record.url?scp=0037017169&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.88.055501
DO - 10.1103/PhysRevLett.88.055501
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C2 - 11863740
AN - SCOPUS:0037017169
SN - 0031-9007
VL - 88
SP - 555011
EP - 555014
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
M1 - 055501
ER -