Brownian non-Gaussian polymer diffusion and queuing theory in the mean-field limit

We link the Brownian non-Gaussian diffusion of a polymer center mass to microscopic cause: polymerization/depolymerization phenomenon occurring when is in contact with monomer chemostat. The anomalous behavior triggered by critical point, separating dilute and dense phase grand canonical ensemble. In mean-field limit we establish queuing theory show that kurtosis diverges alike response function system becomes critical, result which holds for general dynamics (Zimm, Rouse, reptation). Both equilibrium nonequilibrium behaviors are solved exactly as reference study novel stochastic modeling experimental setup.