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arXiv · 1502.01960

Collective periodicity in mean-field models of cooperative behavior

Francesca Collet·Paolo Dai Pra·Marco Formentin
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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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Francesca Collet, Paolo Dai Pra, Marco Formentin. 2015-02-06. Collective periodicity in mean-field models of cooperative behavior. https://arxiv.org/abs/1502.01960

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