Roughness exponents to calculate multi-affine fractal exponents

We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-affine fractal profiles with exactly known exponents, we show that the results obtained in this method are more accurate than the results obtained with the...

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Bibliographic Details
Published in:Physica A 1997-02, Vol.235 (3), p.327-333
Main Authors: Castro e Silva, A., Moreira, J.G.
Format: Article
Language:English
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Summary:We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-affine fractal profiles with exactly known exponents, we show that the results obtained in this method are more accurate than the results obtained with the height-height correlation function method. Also in the present method, scaling is observed using profiles with a number of points more than one order mangnitude smaller.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(96)00357-3