Statistical physics of the Schelling model of segregation

Abstract

We investigate the static and dynamic properties of a celebrated model of social segregation, providing a complete explanation of the mechanisms leading to segregation both in one- and two-dimensional systems. Standard statistical physics methods shed light on the rich phenomenology of this simple model, exhibiting static phase transitions typical of kinetic constrained models, nontrivial coarsening like in driven-particle systems and percolation-related phenomena.

4 pages, 3 figures

References in corpus (5)

• Glassy dynamics of kinetically constrained models
• Jamming, freezing and metastability in one-dimensional spin systems
• A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0
• Metastable states of the Ising chain with Kawasaki dynamics
• Non-local conservation in the coupling field: effect on critical dynamics

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• Nonequilibrium phase transition due to social group isolation
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• Aging effects in Schelling Segregation model
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• Jamming and pattern formation in models of segregation
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• Phase change in an opinion-dynamics model with separation of time scales
• Effective Free Energy for Individual Dynamics
• Avalanches in an extended Schelling model: an explanation of urban gentrification
• Interdependent binary choices under social influence: phase diagram for homogeneous unbiased populations
• Three is much more than two in coarsening dynamics of cyclic competitions
• A Schelling model with a variable treshold in a closed city segregation model. Analysis of the universality classes
• An Analysis of One-Dimensional Schelling Segregation
• Can topology reshape segregation patterns?
• Phase diagram in a one-dimensional civil disorder model
• Theoretical investigation on the Schelling's critical neighborhood demand
• A network model of conviction-driven social segregation
• A Schelling Extended Model in Networks -- Characterization of Ghettos in Washington D.C
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• Urban and Scientific Segregation: The Schelling-Ising Model
• Dynamic models of residential segregation: brief review, analytical resolution and study of the introduction of coordination
• Continuous utility factor in segregation models
• Econophysics, Statistical Mechanics Approach to
• Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow
• Modelling competition for space: Emergent inefficiency and inequality due to spatial self-organization among a group of crowd-avoiding agents
• Segregation in spatially structured cities
• Digital morphogenesis via Schelling segregation
• Urban skylines from Schelling model
• Simple queueing approach to segregation dynamics in Schelling model
• Tipping Points in Schelling Segregation
• Maximum entropy method: sampling bias
• Coupled Ising models and interdependent discrete choices under social influence in homogeneous populations