Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach

TL;DR

This paper studies the large-scale behavior of a bipartite Curie-Weiss model under Glauber dynamics, revealing phase transitions in inter-group interactions through a dynamical approach.

Contribution

It introduces a dynamical analysis of the bipartite Curie-Weiss model and characterizes phase transitions in the absence of magnetic field.

Findings

Limiting behavior of empirical averages in infinite particles limit

Identification of phase transitions in inter-group interaction strength

Characterization of phase space without magnetic field

Abstract

We analyze the Glauber dynamics for a bi-populated Curie-Weiss model. We obtain the limiting behavior of the empirical averages in the limit of infinitely many particles. We then characterize the phase space of the model in absence of magnetic field and we show that several phase transitions in the inter-groups interaction strength occur.