Athermal dynamics of strongly coupled stochastic three-state oscillators.
We study the behavior of globally coupled ensembles of cyclic stochastic three-state units with transition rates from i-1 to i proportional to the number of units in state i. Contrary to mean-field theory predictions, numerical simulations show significant stochastic oscillations for sufficiently large coupling strength. The order parameter characterizing units synchrony increases monotonically with coupling while the coherence of oscillations has a maximum at a certain coupling strength. We find the exact formulas for the stationary probability distribution and the order parameter.
Centre de Physique Théorique CNRS, Universités de Marseille I et II et de Toulon-Var, Luminy Case 907, 13288 Marseille CEDEX 09, France.
Bastien
B
Fernandez
Lev S
LS
Tsimring
D001683:Biological Clocks; D003198:Computer Simulation; D008962:Models, Theoretical; D013269:Stochastic Processes; D013816:Thermodynamics