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research article

Randomly pinned landscape evolution

Caldarelli, G.
•
Giacometti, A.
•
Maritan, A.
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1997
Physical Review E

A simple scheme for the evolution of a fluvial landscape in heterogeneous environments is critically examined to capture the essential mechanism responsible for the recurrent scale-free landforms in the river basin. It is shown that, regardless of boundary and initial conditions, geomorphological constraints in the form of quenched randomly pinned regions play a key role in the robust emergence of aggregation patterns with a scaling behavior in agreement with that of real river basins.

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