Distinguishing fractional and white noise in one and two dimensions

Details Distinguishing fractional and white noise in one and two dimensions Distinguishing fractional and white noise in one and two dimensions

2000-07-02

arxiv.org/abs/cond-mat/0007011v1

Physics

Condensed Matter

3 pages RevTeX, 4 Postscript figures

Scientific paper

10.1103/PhysRevE.63.062102

We discuss the link between uncorrelated noise and 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 lower than -1/2. In this domain, fractional and white noise are not distinguishable. A method analysing the correlations in two dimensions is necessary. For Hurst exponents larger than -1/2, a crossover regime leads to a systematic over estimate of the Hurst exponent.

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