Fractal structures as least energy patterns - The case of river networks

Physics

Scientific paper

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Drainage Patterns, Fractals, Nets, River Basins, Energy Dissipation, Energy Requirements, Hydrology

Scientific paper

Natural drainage networks, like river basins, exhibit fractal and multifractal properties. This work shows that these properties evolve from arbitrary initial conditions by minimizing the local and global rates of energy expenditure in the system. This suggests that many fractal structures may arise as a natural consequence of least energy dissipation requirements.

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