Stochastic analysis of surface roughness

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2003 EDP Sciences
, , Citation M. Waechter et al 2003 EPL 64 579 DOI 10.1209/epl/i2003-00616-4

0295-5075/64/5/579

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.

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10.1209/epl/i2003-00616-4