Brownian non-Gaussian polymer diffusion and queuing theory in the mean-field limit. (3rd February 2022)

• Record Type: Journal Article
• Authors: Nampoothiri, Sankaran; Orlandini, Enzo; Seno, Flavio; Baldovin, Fulvio
• Is Part Of: New journal of physics. Volume 24:Number 2(2022)
• Publication Date: 2022-02-03
• Subjects: anomalous diffusion -- polymers -- critical phenomena; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/ac4924
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We link the Brownian non-Gaussian diffusion of a polymer center of mass (CM) 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 CM 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.