Detecting self-similarity in surface microstructures

Details Detecting self-similarity in surface microstructures Detecting self-similarity in surface microstructures

2000-08-31

arxiv.org/abs/cond-mat/0008470v1

Surf. Sci. 454-456 (2000) 1058-1062

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures, presented at ECOSS18 (Vienna) Sept. 1999

Scientific paper

10.1016/S0039-6028(00)00166-7

The relative configurational entropy per cell as a function of length scale is a sensitive detector of spatial self-similarity. For Sierpinski carpets the equally separated peaks of the above function appear at the length scales that depend on the kind of the carpet. These peaks point to the presence of self-similarity even for randomly perturbed initial fractal sets. This is also demonstrated for the model population of particles diffusing over the surface considered by Van Siclen, Phys. Rev. E 56 (1997) 5211. These results allow the subtle self-similarity traces to be explored.

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