Quasi-fractals: New possibilities in describing of the self-similar clusters
Abstract
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).
About the Author
A. P. Alekhin
Kazan (Volga Region) Federal University, Institute of Physics, Theoretical Physics Department
Russian Federation
Russian Federation
Alexander Alekhin - engineer,
Kazan.
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Review
For citations:
Alekhin A.P. Quasi-fractals: New possibilities in describing of the self-similar clusters. Nanosystems: Physics, Chemistry, Mathematics. 2012;3(2):29-36. (In Russ.)
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