Open AccessStructural properties of two-phase deterministic multifractals
Author(s) -
Giorgia Marcelli
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012046
Subject(s) - multifractal system , fractal , fractal dimension , scaling , mathematics , exponent , statistical physics , spectral line , scattering , dimension (graph theory) , fractal dimension on networks , small angle scattering , box counting , physics , fractal analysis , mathematical analysis , geometry , combinatorics , optics , linguistics , philosophy , astronomy
In this work an analysis of the multifractal spectra, pair distance distribution function (pddf) and small-angle scattering (SAS) intensities from deterministic two-scale multifractals is performed in order to determine their structural properties. It is shown that the coefficients of the pddf are characterized by the presence of groups of distance pairs whose positions are related to the scaling factors of the fractal. It is found that the box counting dimension D 0 in the multifractal spectra coincides with the mas fractal dimension determined through the evaluation of scattering exponent in the fractal region of SAS curve. The length of the mass fractal region in reciprocal space is related to the relative values of the scaling factors. We illustrate these findings on a 2D Vicsek-like multifractals.