Jamming and pattern formation in models of segregation

Tim Rogers; Alan J. McKane

doi:10.1103/PhysRevE.85.041136

Jamming and pattern formation in models of segregation

Tim Rogers, Alan J. McKane

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the Schelling model of social segregation, formulated as an intrinsically nonequilibrium 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 behavior 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. © 2012 American Physical Society.

Original language	English
Article number	041136
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	85
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.85.041136
Publication status	Published - 24 Apr 2012

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title = "Jamming and pattern formation in models of segregation",

abstract = "We investigate the Schelling model of social segregation, formulated as an intrinsically nonequilibrium 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 behavior 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. {\textcopyright} 2012 American Physical Society.",

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AB - We investigate the Schelling model of social segregation, formulated as an intrinsically nonequilibrium 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 behavior 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. © 2012 American Physical Society.

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Jamming and pattern formation in models of segregation

Abstract

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