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 ferromag- netic type, then its dissipative counterpart exhibits periodic orbits in the thermodynamic limit.
Collective periodicity in mean-field models of cooperative behavior
COLLET, FRANCESCA;DAI PRA, PAOLO
;FORMENTIN, MARCO
2015
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 ferromag- netic type, then its dissipative counterpart exhibits periodic orbits in the thermodynamic limit.
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