Hooshyar, M;
Bonetti, S;
Singh, A;
Foufoula-Georgiou, E;
Porporato, A;
(2020)
From turbulence to landscapes: Logarithmic mean profiles in bounded complex systems.
Physical Review E
, 102
(3)
10.1103/physreve.102.033107.
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Abstract
We show that similarly to the logarithmic mean-velocity profile in wall-bounded turbulence, the landscape topography presents an intermediate region with a logarithmic mean-elevation profile. Such profiles are present in complex topographies with channel branching and fractal river networks resulting from model simulation, controlled laboratory experiments, and natural landscapes. Dimensional and self-similarity arguments are used to corroborate this finding. We also tested the presence of logarithmic profiles in discrete, minimalist models of networks obtained from optimality principles (optimal channel networks) and directed percolation. The emergence of self-similar scaling appears as a robust outcome in dynamically different, but spatially bounded, complex systems, as a dimensional consequence of length-scale independence.
| Type: | Article |
|---|---|
| Title: | From turbulence to landscapes: Logarithmic mean profiles in bounded complex systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physreve.102.033107 |
| Publisher version: | http://dx.doi.org/10.1103/physreve.102.033107 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > Bartlett School Env, Energy and Resources |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10111452 |
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