J. Phys. I France 1 (1991) 1251-1261
Finite fractal diffusion-limited aggregatesM. Arturo López-Quintela and M. Carmen Buján-Núñez
Biodynamical 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)
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 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.
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