dorsal/arxiv
View SchemaStochastic analysis of different rough surfaces
| Authors | M. Waechter, F. Riess, Th. Schimmel, U. Wendt, J. Peinke |
|---|---|
| Categories | |
| ArXiv ID | physics/0404015 |
| URL | https://arxiv.org/abs/physics/0404015 |
| DOI | 10.1140/epjb/e2004-00317-4 |
| Journal | The European Physical Journal B 41, pp. 259-277 (2004) |
Abstract
This paper shows in detail the application of a new stochastic approach for the characterization of surface height profiles, which is based on the theory of Markov processes. With this analysis we achieve a characterization of the scale dependent complexity of surface roughness by means of a Fokker-Planck or Langevin equation, providing the complete stochastic information of multiscale joint probabilities. The method is applied to several surfaces with different properties, for the purpose of showing the utility of this method in more details. In particular we show the evidence of Markov properties, and we estimate the parameters of the Fokker-Planck equation by pure, parameter-free data analysis. The resulting Fokker-Planck equations are verified by numerical reconstruction of conditional probability density functions. The results are compared with those from the analysis of multi-affine and extended multi-affine scaling properties which is often used for surface topographies. The different surface structures analysed here show in details advantages and disadvantages of these methods.
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"abstract": "This paper shows in detail the application of a new stochastic approach for\nthe characterization of surface height profiles, which is based on the theory\nof Markov processes. With this analysis we achieve a characterization of the\nscale dependent complexity of surface roughness by means of a Fokker-Planck or\nLangevin equation, providing the complete stochastic information of multiscale\njoint probabilities. The method is applied to several surfaces with different\nproperties, for the purpose of showing the utility of this method in more\ndetails. In particular we show the evidence of Markov properties, and we\nestimate the parameters of the Fokker-Planck equation by pure, parameter-free\ndata analysis. The resulting Fokker-Planck equations are verified by numerical\nreconstruction of conditional probability density functions. The results are\ncompared with those from the analysis of multi-affine and extended multi-affine\nscaling properties which is often used for surface topographies. The different\nsurface structures analysed here show in details advantages and disadvantages\nof these methods.",
"arxiv_id": "physics/0404015",
"authors": [
"M. Waechter",
"F. Riess",
"Th. Schimmel",
"U. Wendt",
"J. Peinke"
],
"categories": [
"physics.data-an",
"cond-mat.dis-nn"
],
"doi": "10.1140/epjb/e2004-00317-4",
"journal_ref": "The European Physical Journal B 41, pp. 259-277 (2004)",
"title": "Stochastic analysis of different rough surfaces",
"url": "https://arxiv.org/abs/physics/0404015"
},
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