Cafiero, Raffaele and Caldarelli, Guido Fractal growth from local instabilities. EPL (Europhysics Letters), 54 (2). pp. 187-193. ISSN 0295-5075 (2001)Full text not available from this repository.
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 χ of the aggregates, instead, does not depend on p (χ 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.
|Uncontrolled Keywords:||PACS: 68.35.Ja Surface and interface dynamics and vibrations; 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)|
|Subjects:||Q Science > QC Physics
Q Science > QD Chemistry
|Research Area:||Economics and Institutional Change|
|Depositing User:||Ms T. Iannizzi|
|Date Deposited:||22 Feb 2012 10:36|
|Last Modified:||20 Nov 2013 14:15|
Actions (login required)