Volume 64, Number 5, December 2003
|Page(s)||579 - 585|
|Published online||01 November 2003|
Stochastic analysis of surface roughness
Carl von Ossietzky University, Physics Department - D-26111 Oldenburg, Germany
2 Max Planck Institute for Physics of Complex Systems - D-01187 Dresden, Germany
Accepted: 10 September 2003
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.
PACS: 02.50.Ga – Markov processes / 05.40.Jc – Brownian motion / 68.35.Bs – Structure of clean surfaces (reconstruction)
© EDP Sciences, 2003
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