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Second-order metropolitan urban phase transitions

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  • Murcio, Roberto
  • Sosa-Herrera, Antonio
  • Rodriguez-Romo, Suemi

Abstract

The morphology evolution of Metropolitan Urban Areas constituted by different Central Business Districts is studied in this paper. For this matter, we propose a stochastic model which combines an initial percolation setting followed by a diffusion-limited aggregation mechanism. Our model mimics better than either case (percolation or diffusion-limited aggregation) the Metropolitan Urban Areas formation progress. We argue that the Metropolitan Urban Areas case introduced in this paper, grows in such a way that undergoes a non-equilibrium second-order phase transition during this process. This conclusion is supported by a fractal dimension and configurational entropy analysis, as well as by studying an empirical case.

Suggested Citation

  • Murcio, Roberto & Sosa-Herrera, Antonio & Rodriguez-Romo, Suemi, 2013. "Second-order metropolitan urban phase transitions," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 22-31.
    • Handle: RePEc:eee:chsofr:v:48:y:2013:i:c:p:22-31
    DOI: 10.1016/j.chaos.2013.01.001
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