Phase diagram of a Schelling segregation model

Details Phase diagram of a Schelling segregation model Phase diagram of a Schelling segregation model

2009-03-27

arxiv.org/abs/0903.4694v1

The European Physical Journal B - Condensed Matter and Complex Systems (EPJB) Vol. 70:2 (2009) pp. 293-304

Physics

Physics and Society

Scientific paper

10.1140/epjb/e2009-00234-0

The collective behavior in a variant of Schelling's segregation model is characterized with methods borrowed from statistical physics, in a context where their relevance was not conspicuous. A measure of segregation based on cluster geometry is defined and several quantities analogous to those used to describe physical lattice models at equilibrium are introduced. This physical approach allows to distinguish quantitatively several regimes and to characterize the transitions between them, leading to the building of a phase diagram. Some of the transitions evoke empirical sudden ethnic turnovers. We also establish links with 'spin-1' models in physics. Our approach provides generic tools to analyze the dynamics of other socio-economic systems.

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