Statistical physics of the Schelling model of segregation
Luca Dall'Asta, Claudio Castellano, Matteo Marsili
TL;DR
This paper applies statistical physics methods to analyze the Schelling model of social segregation, revealing phase transitions, coarsening behavior, and percolation phenomena in one- and two-dimensional systems.
Contribution
It provides a comprehensive explanation of the mechanisms behind segregation in the Schelling model using statistical physics techniques.
Findings
Identification of static phase transitions in the model
Observation of nontrivial coarsening dynamics
Percolation-related phenomena in segregation patterns
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.
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