Universal roughness and the dynamics of urban expansion
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915592994291712 |
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| author | Marquis, Ulysse Artime, Oriol Gallotti, Riccardo Barthelemy, Marc |
| author_facet | Marquis, Ulysse Artime, Oriol Gallotti, Riccardo Barthelemy, Marc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10656 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal roughness and the dynamics of urban expansion Marquis, Ulysse Artime, Oriol Gallotti, Riccardo Barthelemy, Marc Physics and Society Disordered Systems and Neural Networks Statistical Mechanics 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. |
| title | Universal roughness and the dynamics of urban expansion |
| topic | Physics and Society Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2506.10656 |