Self-organizing, two-temperature Ising model describing human segregation

TL;DR

This paper introduces a two-temperature Ising-Schelling model to simulate human segregation, demonstrating a discontinuous phase transition influenced by local and external noise factors.

Contribution

It presents a novel self-organized two-temperature Ising model incorporating external noise, revealing a discontinuous phase transition in segregation behavior.

Findings

Discontinuous phase transition observed in the model.

External noise influences segregation dynamics.

Model mimics changes in individual tolerance levels.

Abstract

A two-temperature Ising-Schelling model is introduced and studied for describing human segregation. The self-organized Ising model with Glauber kinetics simulated by M\"uller et al. exhibits a phase transition between segregated and mixed phases mimicking the change of tolerance (local temperature) of individuals. The effect of external noise is considered here as a second temperature added to the decision of individuals who consider change of accommodation. A numerical evidence is presented for a discontinuous phase transition of the magnetization.