Abstract
We investigated the dynamics of gold nanoparticles (NPs) within an entangled liquid of poly(n-butyl methacrylate) (PBMA) above the glass transition temperature (Tg). The experiments were performed by using a modified version of fluctuation correlation spectroscopy (FCS), which measured the translational diffusion (D) of the isolated NPs as a function of their size (2R0 = 5–20 nm) and temperature (T). We probed the most interesting but sparsely investigated length regime where the particle size/tube diameter (dt) ratio ranges between ∼1–4. This allowed us to put into direct test recently developed theories and simulations. By measuring the bulk viscosity of the melt, the ratio D/DSE was determined, where DSE is the continuum prediction from Stokes–Einstein (SE) relation. Our results indicate gradual recovery to SE behavior and full coupling to entanglement relaxation would require 2R0 ≈ 7–10dt.
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