TY - JOUR
T1 - Jamming and pattern formation in models of segregation
AU - Rogers, Tim
AU - McKane, Alan J.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84860679876&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1103/PhysRevE.85.041136
UR - http://arxiv.org/abs/1204.5400
U2 - 10.1103/PhysRevE.85.041136
DO - 10.1103/PhysRevE.85.041136
M3 - Article
SN - 1539-3755
VL - 85
JO - Physical Review E
JF - Physical Review E
IS - 4
M1 - 041136
ER -