The onset of correlation is a fundamental bifurcation in multiparticle interaction systems. Correlation arises when the k-marginal of the N particle distribution function does not generically converge to a k-tensor product of the one-marginal distribution function as N\to\infty. Uncorrelated models are well described by the one-particle marginal in the mean-field limit. This is a powerful reduction in complexity when it holds. However uncorrelated models are too simple to describe the complexity of electrochemical systems. From an analytical point of view it would be of great value to have a simple binary interaction system in which the N\to\infty limit switches from an uncorrelated (mean field) to a correlated distribution as a bifurcation parameter is varied. We present some simple steps in this direction and investigate the impact of 3 particle interactions on system dynamics.
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