Contour lines of the discrete scale invariant rough surfaces

Details Contour lines of the discrete scale invariant rough surfaces Contour lines of the discrete scale invariant rough surfaces

2010-11-04

arxiv.org/abs/1011.1118v2

Phys. Rev. E 83, 021122 (2011)

Physics

Condensed Matter

Statistical Mechanics

9 Pages, 12 figures

Scientific paper

We study the fractal properties of the 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.

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