title: Distinguishing fractional and white noise in one and two dimensions.
abstract: We discuss the link between uncorrelated noise and the Hurst exponent for one- and two-dimensional interfaces. We show that long range correlations cannot be observed using one-dimensional cuts through two-dimensional self-affine surfaces whose height distributions are characterized by a Hurst exponent H lower than -1/2. In this domain, fractional and white noise are not distinguishable. A method analyzing the correlations in two dimensions is necessary. For H>-1/2, a crossover regime leads to an systematic overestimate of the Hurst exponent.
authors: NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
authors: A
authors: A
authors: Hansen
authors: J
authors: J
authors: Schmittbuhl
authors: G G
authors: GG
authors: Batrouni