Diffusion of Nanoparticles in Semidilute and Entangled Polymer Solutions

Omari, Rami; Aneese, Andrew M.; Grabowski, Christopher A.; Mukhopadhyay, Ashis

doi:10.1021/jp9035088

Cited by 69 publications

(74 citation statements)

References 27 publications

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“…For all solution concentrations studied in ref. 3 the size of nanoparticles is larger than the solution correlation length but smaller than the tube diameter (in an entangled polystyrene melt a (1) ≃ 9 nm 20 ), and therefore, the data points are in the intermediate particle size regime (ξ < d < a ). The particle diffusion coefficients (see points in Figure 6) at low concentrations exhibit a power law dependence on concentration: D t ( c ) ~ c −1.52±0.15 , which is in good agreement with our scaling prediction (eq.…”

Section: Particle Diffusion Coefficientmentioning

confidence: 98%

“…24 and Figure 5) using the data from ref. 3, in which the authors measured the diffusion coefficient of gold nanoparticles with diameter d = 5 nm in 240 kDa polystyrene/toluene (good solvent) solutions at several solution concentrations by fluctuation correlation spectroscopy. For all solution concentrations studied in ref.…”

Section: Particle Diffusion Coefficientmentioning

confidence: 99%

“…3. In order to add these data to the “universal” plot one can rewrite the unentangled extrapolation particle diffusion coefficient as D un = D s (ξ/ R g ) 2 , where D s (see eq.…”

Section: Particle Diffusion Coefficientmentioning

confidence: 99%

“…Solid circles are data from ref. 3 for M w = 240 kDa polystyrene/toluene solutions above the overlap concentration. Lines are predictions of different models: solid line—our scaling model (eqs.…”

Section: Figurementioning

confidence: 99%

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Mobility of Nonsticky Nanoparticles in Polymer Liquids

2011

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We use scaling theory to derive the time dependence of the mean-square displacement 〈Δr2〉 of a spherical probe particle of size d experiencing thermal motion in polymer solutions and melts. Particles with size smaller than solution correlation length ξ undergo ordinary diffusion (〈Δr2 (t)〉 ~ t) with diffusion coefficient similar to that in pure solvent. The motion of particles of intermediate size (ξ < d < a), where a is the tube diameter for entangled polymer liquids, is sub-diffusive (〈Δr2 (t)〉 ~ t1/2) at short time scales since their motion is affected by sub-sections of polymer chains. At long time scales the motion of these particles is diffusive and their diffusion coefficient is determined by the effective viscosity of a polymer liquid with chains of size comparable to the particle diameter d. The motion of particles larger than the tube diameter a at time scales shorter than the relaxation time τe of an entanglement strand is similar to the motion of particles of intermediate size. At longer time scales (t > τe) large particles (d > a) are trapped by entanglement mesh and to move further they have to wait for the surrounding polymer chains to relax at the reptation time scale τrep. At longer times t > τrep, the motion of such large particles (d > a) is diffusive with diffusion coefficient determined by the bulk viscosity of the entangled polymer liquids. Our predictions are in agreement with the results of experiments and computer simulations.

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Section: Particle Diffusion Coefficientmentioning

confidence: 98%

Section: Particle Diffusion Coefficientmentioning

confidence: 99%

“…3. In order to add these data to the “universal” plot one can rewrite the unentangled extrapolation particle diffusion coefficient as D un = D s (ξ/ R g ) 2 , where D s (see eq.…”

Section: Particle Diffusion Coefficientmentioning

confidence: 99%

Section: Figurementioning

confidence: 99%

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Mobility of Nonsticky Nanoparticles in Polymer Liquids

2011

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“…In order to fully realize their practical potential, it is important to develop a detailed microscopic understanding of dynamical properties of polymer nanocomposites23. As a consequence there have been many investigations to study the dynamics of NPs in polymer melts to optimize properties and to facilitate their processing45678910. Owing to the fact that there are several length scales involved such as the radius of gyration of the polymer chain, the radius of the nanoparticle, and the correlation length of the polymer, it is rather complicated to investigate the dynamical phenomenon of NPs in polymer melts.…”

mentioning

confidence: 99%

Glassy dynamics of nanoparticles in semiflexible ring polymer nanocomposite melts

Zhou

Jiang

Deng

et al. 2017

Sci Rep

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By employing molecular dynamics simulations, we explore the dynamics of NPs in semiflexible ring polymer nanocomposite melts. A novel glass transition is observed for NPs in semiflexible ring polymer melts as the bending energy (Kb) of ring polymers increases. For NPs in flexible ring polymer melts (Kb = 0), NPs move in the classic diffusive behavior. However, for NPs in semiflexible ring polymer melts with large bending energy, NPs diffuse very slowly and exhibit the glassy state in which the NPs are all irreversibly caged be the neighbouring semiflexible ring polymers. This glass transition occurs well above the classical glass transition temperature at which microscopic mobility is lost, and the topological interactions of semiflexible ring polymers play an important role in this non-classical glass transition. This investigation can help us understand the nature of the glass transition in polymer systems.

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Nanoparticle Transport Through Polymers and Along Interfaces

Boyle

Maguire

Rose

et al. 2022

Macromolecular Engineering

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Transport of nanoparticles has received increasing attention for both fundamental interest to test prevailing models as well as practical interest in separations and self‐healing applications. Methods for measuring particle dynamics are briefly reviewed to orient the reader to different methodologies. The transport of nanoparticles through polymer melts, solutions, and cross‐linked networks is described with emphasis on systems where the nanoparticle is on the length scale of the defining structure including the tube size, correlation length, and mesh size, respectively. Because nanoparticles can interact with the different mediums, the interactions between nanoparticles and polymer and the subsequent impacts on dynamics are described. The transport of particles at liquid–solid (polymer brush) interfaces is addressed due to growing interest in applications ranging from understanding dynamics in porous media to the translocation of DNA. Both hard particles and polymer grafted particles (soft particles) are described. The objective of this article is to provide the reader with fundamental descriptions of phenomena while reviewing the current state of understanding. Further directions will leverage advances in inorganic chemistry to prepare monodisperse, functional nanoparticles as well as polymer chemistry to create novel media, such as networks with monodisperse mesh size.

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Diffusion of Nanoparticles in Semidilute and Entangled Polymer Solutions

Cited by 69 publications

References 27 publications

Mobility of Nonsticky Nanoparticles in Polymer Liquids

Mobility of Nonsticky Nanoparticles in Polymer Liquids

Glassy dynamics of nanoparticles in semiflexible ring polymer nanocomposite melts

Nanoparticle Transport Through Polymers and Along Interfaces

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