Stochastic analysis of surface roughness

Details Stochastic analysis of surface roughness Stochastic analysis of surface roughness

2003-10-30

arxiv.org/abs/physics/0310159v1

Europhys. Lett., 64 (5), pp. 579-585 (2003)

Physics

Data Analysis, Statistics and Probability

Scientific paper

10.1209/epl/i2003-00616-4

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.

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