Showing papers on "Wavelet transform modulus maxima method published in 2000"
TL;DR: This work focuses on a kinetic Monte Carlo model with Arrhenius dynamics, which takes into consideration the process of thermally activated desorption of particles, and identifies the global exponent alpha(g) with the Holder exponent that maximizes the singularity spectrum.
Abstract: We apply the wavelet transform modulus maxima method to the analysis of simulated surfaces grown by molecular-beam epitaxy. In contrast to the structure function approach commonly used in the literature, this method permits an investigation of the complete singularity spectrum. We focus on a kinetic Monte Carlo model with Arrhenius dynamics, which in particular takes into consideration the process of thermally activated desorption of particles. We find a wide spectrum of Holder exponents, which reflects the multiaffine surface morphology. Although our choice of parameters yields small desorption rates (
4 citations
1 Jan 2000
TL;DR: In this article, an improved wavelet transform modulus maxima method based on real and complex wavelets in which the maxima lines are traced directly was proposed to calculate a general singularity spectrum D(h, β).
Abstract: In order to contribute to an understanding of the nature of turbulent intermittency the multifractal properties of turbulent velocity fields are explored on the basis of real and complex wavelets. The wavelet transform modulus maxima method (WTMM) is nowadays a well developed procedure to extract the singularity spectrum D(h) if the signal does not contain oscillating singularities like vortex tubes. However, the presence of oscillating singularities leads to an underestimation of Holder exponents h and thus to wrong results. In general, two exponents h, β are necessary to characterize the singular behaviour, where the oscillation exponent β describes the local power law divergence of the instantaneous frequency. To determine h and β we propose an improved WTMM method based on real and complex wavelets in which the maxima lines are traced directly. An appropriate partition function allows to calculate a general singularity spectrum D(h, β)
1 citations