Motion of nanoprobes in complex liquids within the framework of the length-scale dependent viscosity model

Kalwarczyk, Tomasz; Sozański, Krzysztof; Ochab-Marcinek, Anna; Szymański, Jan; Tabaka, Marcin; Hou, Sen; Hołyst, Robert

doi:10.1016/j.cis.2015.06.007

Cited by 67 publications

(128 citation statements)

References 136 publications

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“…shown here and thus support our conclusions. The empirical Hołyst model 64,65 was not used in this study because, as we previously documented in the Supporting Information of Ref. 23, it does not collapse the experimental data as well as the coupling theory of Ref.…”

Section: Resultsmentioning

confidence: 99%

Coupling of Nanoparticle Dynamics to Polymer Center-of-Mass Motion in Semidilute Polymer Solutions

et al. 2018

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We investigate the dynamics of nanoparticles in semidilute polymer solutions when the nanoparticles are comparably sized to the polymer coils using explicit-and implicitsolvent simulation methods. The nanoparticle dynamics are subdiffusive on short time scales before transitioning to diffusive motion on long time scales. The long-time diffusivities scale according to theoretical predictions based on full dynamic coupling to the polymer segmental relaxations. In agreement with our recent experiments, however, we observe that the nanoparticle subdiffusive exponents are significantly 1 arXiv:1711.01014v3 [cond-mat.soft] 9 Feb 2018 larger than predicted by the coupling theory over a broad range of polymer concentrations. We attribute this discrepancy in the subdiffusive regime to the presence of an additional coupling mechanism between the nanoparticle dynamics and the polymer center-of-mass motion, which differs from the polymer relaxations that control the long-time diffusion. This coupling is retained even in the absence of many-body hydrodynamic interactions when the long-time dynamics of the colloids and polymers are matched.

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Section: Resultsmentioning

confidence: 99%

Coupling of Nanoparticle Dynamics to Polymer Center-of-Mass Motion in Semidilute Polymer Solutions

et al. 2018

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“…Phillies et al, based on the analysis of a great deal of experimental data, proposed an empirical formula D = D 0 exp(−αc v ), where D 0 is the diffusion coefficient in a purely background solvent, c is the concentration of polymer solution and α, v are fitting parameters relevant to a specific system [38]. Although this stretched exponential form matches the experimental data very well, the underlying physical meaning of these two parameters are quite blurry [39]. Recently, Holyst et.…”

Section: Introductionmentioning

confidence: 99%

Study of active Brownian particle diffusion in polymer solutions

Jiang

Hou

2019

Soft Matter

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The diffusion behavior of an active Brownian particle (ABP) in polymer solutions is studied using Langevin dynamics simulations. We find that the long time diffusion coefficient D can show a non-monotonic dependence on the particle size R if the active force Fa is large enough, wherein a bigger particle would diffuse faster than a smaller one which is quite counterintuitive. By analyzing the short time dynamics in comparison to the passive one, we find that such non-trivial dependence results from the competition between persistence motion of the ABP and the length-scale dependent effective viscosity that the particle experienced in the polymer solution. We have also introduced an effective viscosity η eff experienced by the ABP phenomenologically. Such an active η eff is found to be larger than a passive one and strongly depends on R and Fa. In addition, we find that the dependence of D on propelling force Fa presents a well scaling form at a fixed R and the scaling factor changes non-monotonically with R. Such results demonstrate that active issue plays rather subtle roles on the diffusion of nano-particle in complex solutions. arXiv:1801.03279v1 [cond-mat.soft]

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“…Recently, experiments have accessed the particle mobilities in the limit corresponding to R ≲ R g , and have observed a number of intriguing noncontinuum characteristics. For instance, nanoparticle mobilities in polymer solutions (and melts) have been found to be much larger than expected from the SE limit, and have been observed to depend on four different length scales: R , R g , the polymer solution correlation length ξ , and the entanglement length or tube diameter d T . Moreover, in some cases, the time dependent displacements of the particles have exhibited unusually long regimes of sub‐diffusive behaviors …”

Section: Introductionmentioning

confidence: 99%

Noncontinuum effects on the mobility of nanoparticles in unentangled polymer solutions

Pryamitsyn

Ganesan

2016

J. Polym. Sci. Part B: Polym. Phys.

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The results for the diffusivity of nanoparticles in unentangled semidilute polymer solutions obtained using coarse-grained simulations are presented. The results indicate that for particle sizes smaller than the polymer radius of gyration, the nanoparticle diffusivities deviate from Stokes-Einstein predictions and depend explicitly on the polymer radius of gyration and the polymer solution correlation lengths. Scaling ideas proposed are invoked for rationalizing such noncontinuum effects and demonstrate that the simulation results could be collapsed onto a single universal function of the depletion thickness, the polymer radius of gyration, and the particle radius.

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Motion of nanoprobes in complex liquids within the framework of the length-scale dependent viscosity model

Cited by 67 publications

References 136 publications

Coupling of Nanoparticle Dynamics to Polymer Center-of-Mass Motion in Semidilute Polymer Solutions

Coupling of Nanoparticle Dynamics to Polymer Center-of-Mass Motion in Semidilute Polymer Solutions

Study of active Brownian particle diffusion in polymer solutions

Noncontinuum effects on the mobility of nanoparticles in unentangled polymer solutions

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