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arXiv · 1809.02457

Comparison of the roughness scaling of the surface topography of Earth and Venus

G. E. Crooks·Y. Bar-Yam·S. V. Buldyrev·H. E. Stanley
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Abstract

We report the scaling behavior of the Earth and Venus over a wider range of length scales than reported by previous researchers. All landscapes (not only mountains) together follow a consistent scaling behavior, demonstrating a crossover between highly correlated (smooth) behavior at short length scales (with a scaling exponent $α$=1) and self-affine behavior at long length scales ($α$=0.4). The self-affine behavior at long scales is achieved on Earth above 10 km and on Venus above 50 km.

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G. E. Crooks, Y. Bar-Yam, S. V. Buldyrev, H. E. Stanley. 2018-09-07. Comparison of the roughness scaling of the surface topography of Earth and Venus. https://arxiv.org/abs/1809.02457

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