eprintid: 1144
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/11/44
datestamp: 2012-02-22 10:36:35
lastmod: 2013-11-20 14:15:03
status_changed: 2012-02-22 10:36:35
type: article
metadata_visibility: show
creators_name: Cafiero, Raffaele
creators_name: Caldarelli, Guido
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
title: Fractal growth from local instabilities
ispublished: pub
subjects: QC
subjects: QD
divisions: EIC
full_text_status: none
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 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.
date: 2001-02
date_type: published
publication: EPL (Europhysics Letters)
volume: 54
number: 2
publisher: IOPscience
pagerange: 187-193
id_number: 10.1209/epl/i2001-00294-2
refereed: TRUE
issn: 0295-5075      
official_url: http://dx.doi.org/10.1209/epl/i2001-00294-2
related_url_url: http://arxiv.org/abs/cond-mat/0009231
citation:   Cafiero, Raffaele and Caldarelli, Guido  Fractal growth from local instabilities.  EPL (Europhysics Letters), 54 (2).  pp. 187-193.  ISSN 0295-5075       (2001)