论文标题
城市天际线的动力学粗糙
Kinetic roughening of the urban skyline
论文作者
论文摘要
在这封信中，我们遵循建筑物高度的渐近空间相关性$ g _ {\ infty}（r）$在荷兰\ cite \ cite {bag3d}中，该{bag3d}的范围包括$ \ $ \ clime cluits $ floce $ \ 10,000,000 $，以相应的范围和时间^$ n expterts $ n expents n expents $ niver niver $ ndive $ ndive $ $ ndive $ n expents $ ndive $ $ ndive $ n ives $ $^ $ t^{2β} $。这使我们能够确定城市天际线的演变的普遍性类别，被视为动态发展的界面。根据$α= 0.4 $和$α= 0 $的回收值确定两个主要城市，分别与KPZ和EW通用类别相对应。从每个类别中选择一个离散模型并将其映射到城市中的建筑物的物理规则中，我们得出结论，对建筑物高度的限制反映在指数$α$中，因此对天际线的演变有影响。
\begin{abstract} In this Letter we follow the asymptotic spatial correlation of buildings' heights $G_{\infty}(r)$ in the whole of the Netherlands \cite{bag3d}, which comprises $\approx 10,000,000$ buildings, for the purpose of recovering its scaling with respect to space and time given respectively by the exponents $r^{2 α}$ and $t^{2β}$. This allows us to identify the universality class of the evolution of the urban skyline seen as a dynamically evolving interface. Two major classes of cities were identified based on the recovered value of $α=0.4$ and $α= 0$, which correspond respectively to the KPZ and the EW universality classes. Picking a discrete model from each of these classes and mapping it to physical rules for constructions in cities we conclude that imposed restrictions on buildings' heights are reflected in the exponent $α$ and thus have implications on how the skyline evolves.
