The Ising universality class of kinetic exchange models of opinion dynamics

TL;DR

This paper demonstrates that certain opinion dynamics models with binary interactions and annealed noise exhibit a continuous phase transition in the Ising universality class, confirmed through scaling and Monte Carlo methods.

Contribution

It establishes the Ising universality class for a class of opinion models with annealed noise, extending understanding of phase transitions in social dynamics.

Findings

Models exhibit Ising universality class in the presence of annealed noise.

Addition of noise induces a continuous order-disorder transition.

Zero noise limit shows an active-absorbing transition.

Abstract

We show using scaling arguments and Monte Carlo simulations that a class of binary interacting models of opinion evolution belong to the Ising universality class in presence of an annealed noise term of finite amplitude. While the zero noise limit is known to show an active-absorbing transition, addition of annealed noise induces a continuous order-disorder transition with Ising universality class in the infinite-range (mean field) limit of the models.