TY  - JOUR
KW  - PACS: 68.35.Ja Surface and interface dynamics and vibrations; 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)

N2  - We study, both with numerical simulations and theoretical methods, a cellular automata model for surface growth in the presence of a local instability, driven by an external flux of particles. The growing tip is selected with probability proportional to the local curvature. A probability p of developing overhangs through lateral growth is also introduced. For small external fluxes, we find a fractal regime of growth. The value of p determines the fractal dimension of the aggregate. Furthermore, for each value of p a crossover between two different fractal dimensions is observed. The roughness exponent ? of the aggregates, instead, does not depend on p (? simeq 0.5). A Fixed Scale Transformation (FST) approach is applied to compute theoretically the fractal dimension for one of the branches of the structure.
JF  - EPL (Europhysics Letters)
IS  - 2
VL  - 54
PB  - IOPscience
EP  - 193
AV  - none
SN  - 0295-5075      
SP  - 187
ID  - eprints1144
Y1  - 2001/02//
TI  - Fractal growth from local instabilities
UR  - http://dx.doi.org/10.1209/epl/i2001-00294-2
A1  - Cafiero, Raffaele
A1  - Caldarelli, Guido
ER  -