Geodesic
Quasi-fractals: new possibilities in describing of the self-similar clusters
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 2, pp. 29-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we propose a method for parameterization of fractal clusters which allows us to represent as quasi-fractals. The quasi-fractals are self-similar objects with a slower (logarithmic) scaling in comparison with conventional fractals. The proposed method on flat clusters, obtained by the model of Witten-Sander in which dipole-dipole and charge-dipole interactions between particles were additionally introduced is tested. The results suggest that these clusters can be interpreted as fractals and as quasi-fractals but in the second case we have a clear connection between external conditions of growth and geometry of the clusters (in terms of new fitting parameters).
Keywords: fractals, parameterization, computer simulation.
Mots-clés : quasi-fractals 
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     author = {A. P. Alekhin},
     title = {Quasi-fractals: new possibilities in describing of the self-similar clusters},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {29--36},
     year = {2012},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/NANO_2012_3_2_a1/}
}
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A. P. Alekhin. Quasi-fractals: new possibilities in describing of the self-similar clusters. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 2, pp. 29-36. http://geodesic.mathdoc.fr/item/NANO_2012_3_2_a1/