Bitner Agnieszka, Hołyst Robert, Fiałkowski Marcin
Department of Applied Mathematics, Agricultural University, Mickiewicza 24/28, 30-059 Krakow, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 2):037102. doi: 10.1103/PhysRevE.80.037102. Epub 2009 Sep 25.
We investigate the morphology of the spatial pattern resulting from the division of land into the parcels that is observed in the centers of the cities, by analyzing the distribution function of the parcel areas. A simple model based on a two-dimensional bond percolation is employed to mimic the process of the formation of the city. The model reproduces the empirical distribution of the parcel areas that is found to exhibit the power law with the exponent tau=2.0. We argue that the city emerges from a collection of separated settlements in a process that can be described as a structural phase transition.
我们通过分析地块面积的分布函数，研究了在城市中心观察到的土地划分为地块所产生的空间格局的形态。采用基于二维键渗流的简单模型来模拟城市形成的过程。该模型再现了地块面积的经验分布，发现其呈现出指数τ = 2.0的幂律。我们认为，城市是在一个可描述为结构相变的过程中，从一系列分散的定居点发展而来的。
