Stochastic analysis of surface roughness
Data Analysis, Statistics and Probability
2009-11-10 v1
Abstract
For the characterization of surface height profiles we present a new stochastic approach which is based on the theory of Markov processes. With this analysis we achieve a characterization of the complexity of the surface roughness by means of a Fokker-Planck or Langevin equation, providing the complete stochastic information of multiscale joint probabilities. The method was applied to different road surface profiles which were measured with high resolution. Evidence of Markov properties is shown. Estimations for the parameters of the Fokker-Planck equation are based on pure, parameter free data analysis.
Cite
@article{arxiv.physics/0310159,
title = {Stochastic analysis of surface roughness},
author = {M. Waechter and F. Riess and H. Kantz and J. Peinke},
journal= {arXiv preprint arXiv:physics/0310159},
year = {2009}
}