The dynamics of critical fluctuations in asymmetric Curie-Weiss models
Probability
2017-03-23 v1
Abstract
We study the dynamics of fluctuations at the critical point for two time-asymmetric version of the Curie-Weiss model for spin systems that, in the macroscopic limit, undergo a Hopf bifurcation. The fluctuations around the macroscopic limit reflect the type of bifurcation, as they exhibit observables whose fluctuations evolve at different time scales. The limiting dynamics of fluctuations of slow observable is obtained via an averaging principle.
Keywords
Cite
@article{arxiv.1703.07572,
title = {The dynamics of critical fluctuations in asymmetric Curie-Weiss models},
author = {Paolo Dai Pra and Daniele Tovazzi},
journal= {arXiv preprint arXiv:1703.07572},
year = {2017}
}
Comments
27 pages