Temperature-noise interplay in a coupled model of opinion dynamics

2025/06/09 by Anna Chmiel, Chmiel, Anna, Julian Sienkiewicz +1 · 1 voice
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Misinformation and Its Impacts #Opinion Dynamics and Social Influence

paper · doi:10.1103/v5q5-gy67

openalex publication_date 2025/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We consider a coupled system mimicking opinion formation under the influence of a group of q neighbors (q-lobby) that consists of an Ising part governed by temperature-like parameter T and a voter dynamics parametrized by noise probability p (independence of choice). Using rigorous analytical calculations backed by extensive Monte Carlo simulations, we examine the interplay between these two quantities. Based on the theory of phase transitions, we derive the relation between T and p at the critical line dividing the ordered and disordered phases, which takes a very simple and generic form T(p-a)=b in the high temperature limit. For specific lobby sizes, we show where the temperature and noise are balanced, and we hint that for large q, the temperature-like dynamics prevails.

Citations

• Opinions and Social Pressure
• Statistical physics of social dynamics
• Some generalized order-disorder transformations
• The echo chamber effect on social media
• Q -Neighbor Ising model on a polarized network
• Social physics
• Contrarian effect in opinion forming: insights from Greta Thunberg phenomenon

Discussions

• Out this week: our new paper with A. Chmiel in Phys Rev E (doi.org/10.1103/v5q5...) on the relation between temperature and noise (prob. of choice) in multiplex networks for q-lobby models. [bsky, 0 points, 0 comments]