Jamming and pattern formation in models of segregation

Details Jamming and pattern formation in models of segregation Jamming and pattern formation in models of segregation

2012-04-24

arxiv.org/abs/1204.5400v1

Phys. Rev. E 85, 041136 (2012)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevE.85.041136

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.

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