Relaxation dynamics of nanoparticle-tethered cis-1,4-polyisoprene (PI) are investigated using dielectric spectroscopy and rheometry. A model system composed of polymer chains densely grafted to spherical SiO 2 nanoparticles to form self-suspended suspensions facilitates detailed studies of slow global chain and fast segmental mode dynamics under surface and geometrical confinementfrom experiments performed in bulk materials. We report that unentangled polymer molecules tethered to nanoparticles relax far more slowly than their tethered entangled counterparts. Specifically, at fixed grafting density we find, counterintuitively, that increasing the tethered polymer molecular weight up to values close to the entanglement molecular weight speeds up chain relaxation dynamics. Decreasing the polymer grafting density for a fixed molecular weight has the opposite effect: it dramatically slows down chain relaxation, increases interchain coupling, and leads to a transition in rheological response from simple fluid behavior to viscoelastic fluid behavior for tethered PI chains that are unentangled by conventional measures. Increasing the measurement temperature produces an even stronger elastic response and speeds up molecular relaxation at a rate that decreases with grafting density and molecular weight. These observations are discussed in terms of chain confinement driven by crowding between particles and by the existence of an entropic attractive force produced by the space-filling constraint on individual chains in a self-suspended material. Our results indicate that the entropic force between densely grafted polymer molecules couples motions of individual chains in an analogous manner to reversible cross-links in associating polymers.
■ INTRODUCTIONUnderstanding the behaviors of macromolecules tethered to rigid supports/fillers is a longstanding challenge in soft matter science. Movement of short, unentangled linear polymer chains tethered to a support can normally be described using models for Brownian motion of beads linked by harmonic springs, such as that proposed by Rouse, 1−3 with the added constraint that the bead tethered to the support cannot move. When the molecular weights of the tethered chains become long enough to allow individual molecules to entangle, reptation and armretraction dynamics 4−10 are expected to be overlaid with those associated with surface attachment. 11 Model polymers with long-chain branches, such as stars, H-polymers, combs, and pompoms, exhibit aspects of these dynamics, and the concepts of arm retraction, hierarchical relaxation, and branch point diffusion play crucial roles in understanding their overall rheological properties. 12−15 Dynamics of entangled polymers in a variety of branched architectures have been studied with diverse approaches, including NMR, 16−18 neutron scattering, 19−21 rheology, 16,18−22 dielectric spectroscopy, 18−21 and others. Among these techniques, dielectric spectroscopy is advantageous because a material can be interrogated in an undeformed state wi...