ROUGHNESS EXPONENTS TO CALCULATE MULTI-AFFINE FRACTAL EXPONENTS

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