Reaction kinetics of coarse-grained equilibrium polymers: a Brownian Dynamics study

Abstract

Self-assembled linear structures like giant cylindrical micelles or discotic molecules in solution stacked in flexible columns are systems reminiscent of polydisperse polymer solutions.These supramolecular polymers have an equilibrium length distribution, the result of a competition between the random breakage of chains and the fusion of chains to generate longer ones. In the present work, we review the basic theoretical concepts of these ``equilibrium polymers" and some of the important results obtained by simulation approaches. We propose a new version of a mesoscopic model in continuous space based on the bead and FENE spring polymer model which is treated by Brownian Dynamics and Monte-Carlo binding/unbinding reversible changes for adjacent monomers in space, characterized by an attempt frequency parameter. For a dilute and a moderately semi-dilute state-points which both correspond to dynamically unentangled regimes, the dynamic properties are found to depend upon $\omega$ through the effective life time ${\tau }_b$ of the average size chain which, in turn, yields the kinetic reaction coefficients of the mean-field kinetic model proposed by Cates. Simple kinetic theories seem to work for times $t\ge {\tau }_b$ while at shorter time, strong dynamical correlation effects are observed.

17 figures; Lecture notes in Physics, Springer, to be published

References in corpus (1)

• Early stages of the shear banding instability in wormlike micelles

Cited by in corpus (3)

• Thermoreversible Associating Polymer Networks: I. Interplay of Thermodynamics, Chemical Kinetics, and Polymer Physics
• Intramolecular Form Factor in Dense Polymer Systems: Systematic Deviations from the Debye formula
• Scale-free static and dynamical correlations in melts of monodisperse and Flory-distributed homopolymers: A review of recent bond-fluctuation model studies