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

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, separatin...

Full description

Saved in:
Bibliographic Details
Published inNew journal of physics Vol. 24; no. 2; pp. 23003 - 23014
Main Authors Nampoothiri, Sankaran, Orlandini, Enzo, Seno, Flavio, Baldovin, Fulvio
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2022
Subjects
anomalous diffusion
Bioreactors
Chain entanglement
critical phenomena
Critical point
Depolymerization
Kurtosis
Physics
Polymers
Queuing theory
Reptation
Response functions
Stochastic models
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:NJP-114226.R2
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ac4924