Jamming and pattern formation in models of segregation

Tim Rogers, Alan J. McKane

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We investigate the Schelling model of social segregation, formulated as an intrinsically non-equilibrium system, in which the agents occupy districts (or patches) rather than sites on a grid. We show that this allows the equations governing the dynamical behaviour of the model to be derived. Analysis of these equations reveals a jamming transition in the regime of low-vacancy density, and inclusion of a spatial dimension in the model leads to a pattern forming instability. Both of these phenomena exhibit unusual characteristics which may be studied through our approach.
Original languageEnglish
Article number041136
Number of pages5
JournalPhysical Review E
Volume85
Issue number4
DOIs
Publication statusPublished - 2012

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jamming
Jamming
Segregation
Pattern Formation
Nonequilibrium Systems
Vacancy
Dynamical Behavior
Patch
Governing equation
Inclusion
grids
Model
inclusions
Grid

Cite this

Jamming and pattern formation in models of segregation. / Rogers, Tim; McKane, Alan J.

In: Physical Review E, Vol. 85, No. 4, 041136, 2012.

Research output: Contribution to journalArticle

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