arXiv
Open Access
2025
Universal roughness and the dynamics of urban expansion
Ulysse Marquis
Oriol Artime
Riccardo Gallotti
Marc Barthelemy
Abstrak
Urban sprawl reshapes cities, yet its quantitative laws remain elusive. Analyzing built-up expansion in 19 cities (1985-2015) with tools from surface growth physics in radial geometry, we reveal anisotropic, branch-like growth and a piecewise linear scaling between area and population. We uncover a robust local roughness exponent $α_{\text{loc}}\approx 0.54$, coexisting with variable $β$ and $z$. This unusual coexistence of universal and variable exponents offers a rare empirical testbed for nonequilibrium growth and an empirical basis for modeling urban sprawl.
Topik & Kata Kunci
Penulis (4)
U
Ulysse Marquis
O
Oriol Artime
R
Riccardo Gallotti
M
Marc Barthelemy
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
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- en
- Sumber Database
- arXiv
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- Open Access ✓