Stochastic analysis of surface roughness

Europhysics Letters

Volumn 64, Issue 5, 2003, Pages 579-585

  Waechter, M ^a,b   Riess, F ^a   Kantz, H ^b   Peinke, J ^a  

^a UNIVERSITY OF OLDENBURG   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344063427     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00616-4     Document Type: Article

References (31)

1. SAYLES R. S. and THOMAS T. R., Nature, 271 (1978) 431.
2. VICSEK T., Fractal Growth Phenomena, 2nd edition (World Scientific, Singapore) 1992.
3. BARABÁSI A.-L. and STANLEY H. E. (Editors), Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge) 1995.
4. DAVIES S. and HALL P., J. R. Stat. Soc. B, 61 (1999) 3.
5. KEIRSBULCK K., LABRAGA L., MAZOUZ A. and TOURNIER C., Exp. Fluids, 33 (2002) 497.
6. SMALLEY R. J., LEONARDI S., ANTONIA R. A., DJENIDI L. and ORLANDI P., Exp. Fluids, 33 (2002) 31.
7. STULL R. B., An Introduction to Boundary Layer Meteorology (Kluwer, Dordrecht) 1988.
8. ROTH M., Quart. J. R. Meteorol. Soc., 126 (2000) 941.
9. VANNESTE J., J. Fluid Mech., 474 (2003) 299.
10. DHARMADHIKARI C. V. et al., Europhys. Lett., 45 (1999) 215.
11. SAITOU M., HOKAMA M. and OSHIKAWA W., Appl. Surf. Sci., 185 (2001) 79.
12. SYDOW U., BUHLERT M. and PLATH P. J., to be published in Discrete Dynamics in Nature and Society.
13. ISO, International Standard 4287 (International Standards Organisation, Geneva) 1998.
14. FEDER J., Fractals (Plenum Press, New York, London) 1988.
15. FAMILY F. and VICSEK T. (Editors), Dynamics of Fractal Surfaces (World Scientific, Singapore) 1991.
16. RENNER CH., PEINKE J. and FRIEDRICH R., J. Fluid Mech., 433 (2001) 383.
17. FRIEDRICH R., GALLA T., NAERT A., PEINKE J. and SCHIMMEL T., in A Perspective Look at Nonlinear Media, edited by PARISI J. et al., Led. Notes Phys., Vol. 503 (Springer, Berlin) 1988, pp. 313-326.
18. FRIEDRICH R., PEINKE J. and RENNER CH., Phys. Rev. Lett., 84 (2000) 5224.
19. WAECHTER M., RIESS F. and ZACHARIAS N., Vehicle Syst. Dyn., 37 (2002) 3.
20. BRAUN H., PhD Thesis, Technical University of Braunschweig (1969).
21. DODDS C. J. and ROBSON J. D., J. Sound Vib., 31 (1973) 175.
22. ISO, International Standard 8608 (International Standards Organisation, Geneva) 1995.
23. r(x) defined below.
24. BRUSCELLA B., ROUILLARD V. and SEK M., J. Transp. Eng., 125 (1999) 55.
25. KEMPKENS E., Federal Highway Research Institute (BASt), Cologne, Germany, September 1999, private communication.
26. UECKERMANN A., Institute of Road Planning, Technical University RWTH Aachen, Germany, September 1999, private communication.
27. r(x) = h(x + r) -h(x).
28. RISKEN H., The Fokker-Planck Equation (Springer, Berlin) 1984.
29. (k) change only slightly, preserving form and behaviour of the Fokker-Planck equation. The logarithmic variable ρ was used in order to preserve consistency, see [16-18].
30. The data have been high-pass filtered with a cutoff wavelength of 1 m. Due to the limited profile length, effects on longer scales cannot be analysed in a stochastical sense. However, this limitation to length scales below typical vehicle wheelbases does not mean a principal drawback of the proposed analysis.
31. KOLMOGOROV A. N., Math. Ann., 104 (1931) 415.