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Original Research ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Phys. | doi: 10.3389/fphy.2019.00124

Polymerization induces non-Gaussian diffusion

 Enzo Orlandini1, Flavio Seno1 and  Fulvio Baldovin1*
  • 1University of Padova, Italy

Recent theoretical modeling offers a unified picture for the
description of stochastic processes characterized by a crossover from
anomalous to normal behavior. This is particularly welcome,
as a growing number of experiments suggest the crossover to be a
common feature shared by many systems: in some cases the anomalous
part of the dynamics amounts to a Brownian yet non-Gaussian diffusion;
more generally, both the diffusion exponent and the distribution may
deviate from normal behavior in the initial part of the process.
Since proposed theories work at a mesoscopic scale invoking the
subordination of diffusivities, it is of primary importance to bridge
these representations with a more fundamental, ``microscopic''
description. We argue that the dynamical behavior of macromolecules
during simple polymerization processes provide suitable setups in which analytic,
numerical, and particle-tracking experiments can be
contrasted at such a scope. Specifically, we demonstrate that Brownian
yet non-Gaussian diffusion of the center of mass of a polymer is a
direct consequence of the polymerization process. Through the
kurtosis, we characterize the early-stage non-Gaussian behavior within
a phase diagram, and we also put forward an estimation for the crossover
time to ordinary Brownian motion.

Keywords: polymer dynamics, Polymerization process, anomalous diffusion, Non-Gaussian, Crossover to Gaussian Behavior

Received: 05 Jul 2019; Accepted: 15 Aug 2019.

Copyright: © 2019 Orlandini, Seno and Baldovin. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Prof. Fulvio Baldovin, University of Padova, Padova, Italy, baldovin@pd.infn.it