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

Abstract

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

18 pages, 7 figures

References in corpus (3)

• "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
• Convergence to a Gaussian by narrowing of central peak in Brownian yet non-Gaussian diffusion in disordered environments
• Polymers critical point originates Brownian non-Gaussian diffusion

Cited by in corpus (1)

• Brownian non-Gaussian diffusion of self-avoiding walks