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

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