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A physical analogue of the Schelling model.

ABSTRACT: We present a mathematical link between Schelling's socio-economic model of segregation and the physics of clustering. We replace the economic concept of "utility" by the physics concept of a particle's internal energy. As a result cluster dynamics is driven by the "surface tension" force. The resultant segregated areas can be very large and can behave like spherical "liquid" droplets or as a collection of static clusters in "frozen" form. This model will hopefully provide a useful framework for studying many spatial economic phenomena that involve individuals making location choices as a function of the characteristics and choices of their neighbors.

SUBMITTER: Vinkovic D

PROVIDER: S-EPMC1748214 | biostudies-literature | 2006 Dec

REPOSITORIES: biostudies-literature

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A physical analogue of the Schelling model.

Vinkovic Dejan D Kirman Alan A

Proceedings of the National Academy of Sciences of the United States of America 20061206 51

We present a mathematical link between Schelling's socio-economic model of segregation and the physics of clustering. We replace the economic concept of "utility" by the physics concept of a particle's internal energy. As a result cluster dynamics is driven by the "surface tension" force. The resultant segregated areas can be very large and can behave like spherical "liquid" droplets or as a collection of static clusters in "frozen" form. This model will hopefully provide a useful framework for ...[more]

PMID: 17151197

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