Europhys. Lett.
Volume 64, Number 5, December 2003
Page(s) 579 - 585
Section General
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00616-4
Europhys. Lett., 64 (5) , pp. 579-585 (2003)

Stochastic analysis of surface roughness

M. Waechter1, 2, F. Riess1, H. Kantz2 and J. Peinke1

1  Carl von Ossietzky University, Physics Department - D-26111 Oldenburg, Germany
2  Max Planck Institute for Physics of Complex Systems - D-01187 Dresden, Germany

(Received 21 February 2003; accepted in final form 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.

02.50.Ga - Markov processes.
05.40.Jc - Brownian motion.
68.35.Bs - Structure of clean surfaces (reconstruction).

© EDP Sciences 2003