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Kinetic roughening of the urban skyline

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journal contribution
posted on 29.05.2020 by Sara Najem, Alaa Krayem, Tapio Ala-Nissila, Martin Grant
We analyze the morphology of the modern urban skyline in terms of its roughness properties. This is facilitated by a database of 107 building heights in cities throughout the Netherlands which allows us to compute the asymptotic height difference correlation function in each city. We find that in cities for which the height correlations display power-law scaling as a function of distance between the buildings, the corresponding roughness exponents are commensurate to the Edwards-Wilkinson and Kardar-Parisi-Zhang equations for kinetic roughening. Based on analogy to discrete deposition models, we argue that these two limiting classes emerge because of possible height restriction rules for buildings in some cities.

Funding

QTF Centre of Excellence program (Project No. 312298)

PolyDyna project (No. 307806)

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

101

Issue

5

Pages

050301

Publisher

American Physical Society (APS)

Version

VoR (Version of Record)

Rights holder

© American Physical Society

Publisher statement

This paper was published in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/physreve.101.050301

Acceptance date

08/05/2020

Publication date

2020-05-26

Copyright date

2020

ISSN

2470-0045

eISSN

2470-0053

Language

en

Depositor

Prof Tapio Ala-Nissila . Deposit date: 28 May 2020

Article number

050301

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