Models of Fractal River Basins
Marek Cieplak, Achille Giacometti, Amos Maritan, Andrea Rinaldo, Ignacio Rodriguez-Iturbe, Jayanth R. Banavar
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 Previous numerical estimates on the critical exponents, when existing, are confirmed and superseded.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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