Determining Quiescent Colloidal Suspension Viscosities Using the Green-Kubo Relation and Image-Based Stress Measurements

Lin, Yaojian; Bierbaum, Matthew; Cohen, Itai

doi:10.1103/physrevlett.119.138001

Cited by 9 publications

(5 citation statements)

References 63 publications

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“…By contrast, for a yield stress fluid, at long times C  decays to a finite value [48] which is a measure of the residual stress, r  in the system. In fig.2a we show the evolution of the stress autocorrelation: while the simple exponential decay of   Ct  for the hard sphere suspension indicates existence of a well-defined zero-shear viscosity [49], a non-zero terminal value of the same measure for the attractive particle suspension leads to a divergent area integral and prevents a zero-shear viscosity from being defined for these systems [22]. The residual stress ( r  ), but they also have distinctly different micro-and meso-scale structures than the gels formed under quiescent conditions.…”

Section:  mentioning

confidence: 99%

Time-rate-transformation framework for targeted assembly of short-range attractive colloidal suspensions

Jamali

Armstrong

McKinley³

2020

Materials Today Advances

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The aggregation of attractive colloids has been extensively studied from both theoretical and experimental perspectives as the fraction of solid particles is changed, and the range, type and strength of attractive or repulsive forces between particles varies. The resulting gels consisting of disordered assemblies of attractive colloidal particles, have also been investigated with regards to percolation, phase separation, and the mechanical characteristics of the resulting fractal networks.Despite tremendous progress in our understanding of the gelation process, and the exploration of different routes for arresting the dynamics of attractive colloids, the complex interplay between convective transport processes and many-body effects in such systems has limited our ability to drive the system towards a specific configuration. Here we study a model attractive colloidal system over a wide range of particle characteristics and flow conditions undergoing aggregation far from equilibrium. The complex multiscale dynamics of the system can be understood using a Time-Rate-Transformation diagram adapted from understanding of materials processing in block copolymers, supercooled liquids and much stiffer glassy metals to direct targeted assembly of attractive colloidal particles.Main-The physical and mechanical properties of soft condensed matter generally, and colloidal systems specifically, are directly governed by their underlying microstructure. The diversity of

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Section:  mentioning

confidence: 99%

Time-rate-transformation framework for targeted assembly of short-range attractive colloidal suspensions

Jamali

Armstrong

McKinley³

2020

Materials Today Advances

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“…FSS concentration was 2.0 mM, and the volume fraction of the colloidal particles was ~0.01. Addition of the FSS to the suspension shortens screening length, and nearly hard-sphere interaction is obtained 23 . A sample cell for microscopy observation was composed of a cover slip and an aluminum block with a through hole of 9-mm diameter.…”

Section: Methodsmentioning

confidence: 99%

Mechanical oscillation accelerating nucleation and nuclei growth in hard-sphere colloidal glass

Nakamura

Nakashima

Ogi

2019

Sci Rep

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Crystallization from amorphous solids is generally caused by activating phonons in a wide frequency range during heat treatment. In contrast, the activation of phonons in a narrow frequency range using ultrasonic treatment also causes crystallization below the glass transition temperature. These behaviors indicate that crystallization is related to the atomic motion in the glass state, and it is suggested that the activation of specific atomic motion can cause crystallization without increasing temperature. In this study, we observe nucleation and nuclei growth caused by mechanical oscillation in a hard-sphere colloidal glass and evaluate the effect of mechanical oscillation on the structural evolution in the early stage of the crystallization. Oscillation between 5 and 100 Hz is applied to the colloidal glass, and it is observed that the nucleation rate increases under the 70 Hz oscillation, resulting in formation of stable nuclei in a short amount of time. The nuclei growth is also accelerated by the 70 Hz oscillation, whereas increases in the nucleation rate and nuclei growth were not observed at other frequencies. Finally, activation of the diffusion-based rattling of particles by caging is considered as a possible mechanism of the observations.

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“…The last two terms in equation ( 14) (i.e., the terms without integral) are unexpected, but indeed turn out to be required in the numerical exam- ples provided below. They are absent when considering the overdamped limit given by the famous Green-Kubo relation [51,60,68,69]:…”

Section: Computing Equilibrium Correlation Functions: Linear Response...mentioning

confidence: 99%

Brownian systems perturbed by mild shear: comparing response relations

Asheichyk¹,

Fuchs²,

Krüger³

2021

J. Phys.: Condens. Matter

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We present a comprehensive study of the linear response of interacting underdamped Brownian particles to simple shear flow. We collect six different routes for computing the response, two of which are based on the symmetry of the considered system and observable with respect to the shear axes. We include the extension of the Green-Kubo relation to underdamped cases, which shows two unexpected additional terms. These six computational methods are applied to investigate the relaxation of the response towards the steady state for different observables, where interesting effects due to interactions and a finite particle mass are observed. Moreover, we compare the different response relations in terms of their statistical efficiency, identifying their relative demand on experimental measurement time or computational resources in computer simulations. Finally, several measures of breakdown of linear response theory for larger shear rates are discussed.

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Determining Quiescent Colloidal Suspension Viscosities Using the Green-Kubo Relation and Image-Based Stress Measurements

Cited by 9 publications

References 63 publications

Time-rate-transformation framework for targeted assembly of short-range attractive colloidal suspensions

Time-rate-transformation framework for targeted assembly of short-range attractive colloidal suspensions

Mechanical oscillation accelerating nucleation and nuclei growth in hard-sphere colloidal glass

Brownian systems perturbed by mild shear: comparing response relations

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