Roughness exponents to calculate multi-affine fractal exponents

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1997
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We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-attine 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 of magnitude smaller.
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SILVA, A. V. C. de C. e ; MOREIRA, J. G. M. A. Roughness exponents to calculate multi-affine fractal exponents. Physica A, v. 235, n. 3-4, p. 327-333, 1997. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437196003573>. Acesso em: 19 jun. 2012.