relation: http://eprints.imtlucca.it/1144/
title: Fractal growth from local instabilities
creator: Cafiero, Raffaele
creator: Caldarelli, Guido
subject: QC Physics
subject: QD Chemistry
description: 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.
publisher: IOPscience
date: 2001-02
type: Article
type: PeerReviewed
identifier:   Cafiero, Raffaele and Caldarelli, Guido  Fractal growth from local instabilities.  EPL (Europhysics Letters), 54 (2).  pp. 187-193.  ISSN 0295-5075       (2001)  
relation: http://dx.doi.org/10.1209/epl/i2001-00294-2
relation: 10.1209/epl/i2001-00294-2