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Contour lines of the discrete scale-invariant rough surfaces
Nezhadhaghighi, M. G ; Sharif University of Technology
822
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- Type of Document: Article
- DOI: 10.1103/PhysRevE.83.021122
- Abstract:
- We study the fractal properties of the two-dimensional (2D) discrete scale-invariant (DSI) rough surfaces. The contour lines of these rough surfaces show clear DSI. In the appropriate limit the DSI surfaces converge to the scale-invariant rough surfaces. The fractal properties of the 2D DSI rough surfaces apart from possessing the discrete scale-invariance property follow the properties of the contour lines of the corresponding scale-invariant rough surfaces. We check this hypothesis by calculating numerous fractal exponents of the contour lines by using numerical calculations. Apart from calculating the known scaling exponents, some other new fractal exponents are also calculated
- Keywords:
- Contour line ; Fractal exponents ; Fractal properties ; Numerical calculation ; Rough surfaces ; Scale-invariance property ; Scale-invariant ; Scaling exponent ; Contour measurement ; Fractals ; Two dimensional ; Surface properties
- Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 83, Issue 2 , 2011 ; 15393755 (ISSN)
- URL: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.021122
