Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach
Probability
2015-06-22 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1406.4044,
title = {Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach},
author = {Francesca Collet},
journal= {arXiv preprint arXiv:1406.4044},
year = {2015}
}
Comments
18 pages, 3 figures