Research

Jamming and pattern formation in models of segregation


Reference:

Rogers, T. and McKane, A. J., 2012. Jamming and pattern formation in models of segregation. Physical Review E, 85 (4), 041136.

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http://dx.doi.org/10.1103/PhysRevE.85.041136

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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.

Details

Item Type Articles
CreatorsRogers, T.and McKane, A. J.
DOI10.1103/PhysRevE.85.041136
Related URLs
URLURL Type
http://arxiv.org/abs/1204.5400Free Full-text
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code32180

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