Inhomogeneous and self-organised temperature in Schelling-Ising model

TL;DR

This paper explores a Schelling-Ising model variant where inhomogeneous and self-organized temperatures influence urban segregation patterns, revealing that feedback mechanisms lead to emergent temperature dynamics without altering core segregation outcomes.

Contribution

It introduces a self-organizing temperature mechanism in the Schelling-Ising model, linking segregation behavior with temperature feedback, a novel approach in modeling urban segregation.

Findings

Inhomogeneous temperatures have minimal impact on segregation results.

Feedback between segregation and temperature causes self-organization of temperature.

Self-organized temperature patterns emerge without changing segregation outcomes.

Abstract

The Schelling model of 1971 is a complicated version of a square-lattice Ising model at zero temperature, to explain urban segregation, based on the neighbour preferences of the residents, without external reasons. Various versions between Ising and Schelling models give about the same results. Inhomogeneous "temperatures" T do not change the results much, while a feedback between segregation and T leads to a self-organisation of an average T.