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.
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Collet, F., Dai Pra, P. & Formentin, M. Collective periodicity in mean-field models of cooperative behavior. Nonlinear Differ. Equ. Appl. 22, 1461–1482 (2015). https://doi.org/10.1007/s00030-015-0331-4
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DOI: https://doi.org/10.1007/s00030-015-0331-4