Microscopic correlations in the Kuramoto model of coupled oscillators.
In the Kuramoto model of globally coupled phase oscillators with different frequencies, the oscillators separate into two groups: an ordered one locked to the mean field and a disordered one. We show that this picture, derived in the thermodynamic limit of large populations, is not exact for finite ensembles, where the mean field fluctuates. We demonstrate that these fluctuations lead to cross-correlations in the disordered group. The theory, based on the approximation of the mean field fluctuations by white noise, agrees well with our observations for finite ensembles.
Publisher URL: http://arxiv.org/abs/1901.02779
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