Models of Fractal River Basins

Details Models of Fractal River Basins Models of Fractal River Basins

1998-03-24

arxiv.org/abs/cond-mat/9803287v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, latex, 9 figures included using uufiles command (for any problem: achille@unive.it), to be publishes in J. Stat. Phy

Scientific paper

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 Previous numerical estimates on the critical exponents, when existing, are confirmed and superseded.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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