@article{eprints1144,
            year = {2001},
           month = {February},
          number = {2},
       publisher = {IOPscience},
           title = {Fractal growth from local instabilities},
         journal = {EPL (Europhysics Letters)},
           pages = {187--193},
          volume = {54},
          author = {Raffaele Cafiero and Guido Caldarelli},
        keywords = {PACS: 68.35.Ja Surface and interface dynamics and vibrations; 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)
},
        abstract = {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 {\ensuremath{\chi}} of the aggregates, instead, does not depend on p ({\ensuremath{\chi}} 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.},
             url = {http://eprints.imtlucca.it/1144/}
}