The rise and fall of branching: a slowing down mechanism in relaxing wormlike micellar networks
arXiv:2109.10001 · doi:10.1063/5.0072374
Abstract
A mean-field kinetic model suggests that the relaxation dynamics of wormlike micellar networks is a long and complex process due to the problem of reducing the number of free end-caps (or dangling ends) while also reaching an equilibrium level of branching after an earlier overgrowth. The model is validated against mesoscopic molecular dynamics simulations and is based on kinetic equations accounting for scission and synthesis processes of blobs of surfactants. A long relaxation time scale is reached both with thermal quenches and small perturbations of the system. The scaling of this relaxation time is exponential with the free energy of an end cap and with the branching free energy. We argue that the subtle end-recombination dynamics might yield effects that are difficult to detect in rheology experiments, with possible underestimates of the typical time scales of viscoelastic fluids.
arXiv comment10 pages, 6 figures
References in corpus (11)
- Rheology of giant micelles
- Gelation as arrested phase separation in short-ranged attractive colloid-polymer mixtures
- Gel to glass transition in simulation of a valence-limited colloidal system
- Oscillating Modes of Driven Colloids in Overdamped Systems
- Transient dynamics of a colloidal particle driven through a viscoelastic fluid
- Topology, Length Scales and Energetics of Surfactant Micelles
- Structure and Relaxation Dynamics of a Colloidal Gel
- Micelle formation, gelation and phase separation of amphiphilic multiblock copolymers
- Two step micro-rheological behavior in a viscoelastic fluid
- Explicit solution of the generalised Langevin equation
- Aging of living polymer networks: a model with patchy particles
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