Separate or perish - the coevolving voter model

TL;DR

This paper extends the coevolving voter model by incorporating spin-dependent rewiring, revealing that the system tends to split into homogenous networks or lose one spin type, with zero active links.

Contribution

The paper introduces a spin-dependent rewiring mechanism into the coevolving voter model and analyzes its effects on network fragmentation and spin extinction.

Findings

System splits into two networks with different spins

One spin orientation can go extinct

Active links density drops to zero

Abstract

Recent generalization of the coevolving voter model (J. Toruniewska et al, PRE 96 (2017) 042306) is further generalized here, including spin-dependent probability of rewiring. Mean field results indicate that either the system splits into two separate networks with different spins, or one of spin orientation goes extinct. In both cases, the density of active links is equal to zero. The results are discussed in terms of homophily in social contacts.