1. Size-Dependent Dynamics of Nanoparticles in Unentangled Polyelectrolyte Solutions
- Author
-
Ramanan Krishnamoorti, Jacinta C. Conrad, and Ryan Poling-Skutvik
- Subjects
chemistry.chemical_classification ,Length scale ,Polymers and Plastics ,Organic Chemistry ,Thermodynamics ,Polymer ,Thermal diffusivity ,Fick's laws of diffusion ,Polyelectrolyte ,Condensed Matter::Soft Condensed Matter ,Inorganic Chemistry ,Viscosity ,chemistry ,Materials Chemistry ,Particle ,Scaling - Abstract
The mobility of polystyrene nanoparticles ranging in diameter from 300 nm to 2 μm was measured in dilute and semidilute solutions of partially hydrolyzed polyacrylamide. In this model system, the ratio of particle to polymer size controls the long-time diffusivity of nanoparticles. The particle dynamics transition from subdiffusive on short time scales to Fickian on long time scales, qualitatively similar to predictions for polymer dynamics using a Rouse model. The diffusivities extracted from the long-time Fickian regime, however, are larger than those predicted by the Stokes-Einstein equation and the bulk zero-shear viscosity and moreover do not collapse according to hydrodynamic models. The size-dependent deviations of the long-time particle diffusivities derive instead from the coupling between the dynamics of the particle and the polymer over the length scale of the particle. Although the long-time diffusivities collapse according to predictions, deviations of the short-time scaling exponents and the crossover time between subdiffusive and Fickian dynamics indicate that the particles are only partially coupled to the relaxation modes of the polymer.
- Published
- 2022