Collective periodicity in mean-field models of cooperative behavior
Probability
2015-02-09 v1 Mathematical Physics
math.MP
Abstract
We propose a way to break symmetry in stochastic dynamics by introducing a dissipation term. We show in a specific mean-field model, that if the reversible model undergoes a phase transition of ferromagnetic type, then its dissipative counterpart exhibits periodic orbits in the thermodynamic limit.
Keywords
Cite
@article{arxiv.1502.01960,
title = {Collective periodicity in mean-field models of cooperative behavior},
author = {Francesca Collet and Paolo Dai Pra and Marco Formentin},
journal= {arXiv preprint arXiv:1502.01960},
year = {2015}
}
Comments
19 pages, 3 figures