| Issue |
J. Phys. I France
Volume 1, Number 9, September 1991
|
|
|---|---|---|
| Page(s) | 1251 - 1261 | |
| DOI | https://doi.org/10.1051/jp1:1991204 | |
J. Phys. I France 1 (1991) 1251-1261
Finite fractal diffusion-limited aggregates
M. Arturo López-Quintela and M. Carmen Buján-NúñezBiodynamical Physics Group, Department of Physical Chemistry, University of Santiago de Compostela, E-15706 Santiago de Compostela, Spain
(Received 9 July 1990, accepted in final form 6 May 1991)
Abstract
Particle-cluster aggregation has been studied by computer simulation. It has been observed that the fractal dimension of a
diffusion-limited aggregate is only constant when the number
N of its elementary units is sufficiently large. For small
N, the fractal dimension is a function of
N. The concept of a differential fractal dimension
![$D(N)=-d[\log n(\varepsilon/r_0,N)] /d[\log(\varepsilon/r_0)]$](/articles/jp1/abs/1991/09/jp1v1p1251/img1.gif){kind=small}
allows the deviation from ideal behaviour to be quantified and interpreted. Introduction of
D(N) in the scattering equations allows characterization of the deviation from linearity of plots of log
I against
, where
I is the scattering intensity and
q the amplitude vector.
© Les Editions de Physique 1991