Phase transition in urban agglomeration and segregation
Taksu Cheon, Michikazu Kobayashi
TL;DR
This paper presents a lattice-based model demonstrating how varying agent density leads to phase transitions in urban aggregation, segregation, and social disorder, providing insights into urban spatial dynamics.
Contribution
It introduces a novel lattice model capturing phase transitions in urban segregation and aggregation driven by agent density variations.
Findings
Identification of phase transitions corresponding to urban aggregation and segregation
Demonstration of social disorder emergence at certain densities
Modeling urban spatial phenomena with phase transition theory
Abstract
A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter, various phase transitions representing appearance of urban aggregation, segregation and social disorder.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Differential Equations and Numerical Methods · Urban Design and Spatial Analysis