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Models of Fractal River Basins

Marek Cieplak·Achille Giacometti·Amos Maritan·Andrea Rinaldo·Ignacio Rodriguez-Iturbe·Jayanth R. Banavar
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Abstract

Two distinct models for self-similar and self-affine river basins are numerically investigated. They yield fractal aggregation patterns following non-trivial power laws in experimentally relevant distributions. Previous numerical estimates on the critical exponents, when existing, are confirmed and superseded. A physical motivation for both models in the present framework is also discussed.

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Marek Cieplak, Achille Giacometti, Amos Maritan, Andrea Rinaldo, Ignacio Rodriguez-Iturbe, Jayanth R. Banavar. 1998-03-24. Models of Fractal River Basins. https://arxiv.org/abs/cond-mat/9803287

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