sphere suspensions
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2021 ◽  
Author(s):  
Stephen Peppin

Coupled equations describing diffusion and cross-diffusion of tracer particles in hard-sphere suspensions are derived and solved numerically. In concentrated systems with strong excluded volume and viscous interactions the tracer motion is subdiffusive. Cross diffusion generates transient perturbations to the host-particle matrix, which affect the motion of the tracer particles leading to nonlinear mean squared displacements. Above a critical host-matrix concentration the tracers experience clustering and uphill diffusion, moving in opposition to their own concentration gradient. A linear stability analysis indicates that cross diffusion can lead to unstable concentration fluctuations in the suspension. The instability is a potential mechanism for the appearance of dynamic and structural heterogeneity in suspensions near the glass transition.


Soft Matter ◽  
2021 ◽  
Author(s):  
Nathan P. Alexander ◽  
Ronald J. Phillips ◽  
Stephanie R. Dungan

Rigorous theory for gradient diffusion in hard-sphere suspensions is adapted to locally monodisperse, nonionic micellar solutions with solute, and effectively used to predict ternary diffusion matrices [D] acquired using the Taylor dispersion method.


2020 ◽  
Vol 64 (2) ◽  
pp. 445-457 ◽  
Author(s):  
Nicos S. Martys ◽  
William L. George ◽  
Ryan P. Murphy ◽  
Kathleen M. Weigandt

Soft Matter ◽  
2020 ◽  
Vol 16 (43) ◽  
pp. 9864-9875
Author(s):  
Young Ki Lee ◽  
Kyu Hyun ◽  
Kyung Hyun Ahn

The first normal stress difference (N1) as well as shear stress of non-Brownian hard-sphere suspensions in small to large amplitude oscillatory shear flow is investigated.


2019 ◽  
Vol 870 ◽  
pp. 1105-1126 ◽  
Author(s):  
S. S. L. Peppin

A phenomenological theory of diffusion and cross-diffusion of tracer particles in concentrated hard-sphere suspensions is developed. Expressions for the diffusion coefficients as functions of the host particle volume fraction are obtained up to the close-packing limit. In concentrated systems the tracer diffusivity decreases because of the reduced pore space available for diffusion. The tracer diffusivity can be modelled by a Stokes–Einstein equation with an effective viscosity that depends on the pore size. Tracer diffusion and segregation during sedimentation cease at a critical trapping volume fraction corresponding to a tracer glass transition. The tracer cross-diffusion coefficient, however, increases near the glass transition and diverges in the close-packed limit.


2019 ◽  
Vol 4 (4) ◽  
Author(s):  
J. J. J. Gillissen ◽  
H. J. Wilson

Soft Matter ◽  
2018 ◽  
Vol 14 (24) ◽  
pp. 5130-5139 ◽  
Author(s):  
N. Schaertl ◽  
D. Botin ◽  
T. Palberg ◽  
E. Bartsch

A hard-sphere like colloidal MgZn2 Laves crystal phase transforms into a random stacked MgCu2-like structure at higher packing fractions indicating a new route to photonic crystals.


2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Ran Niu ◽  
Sabrina Heidt ◽  
Ramsia Sreij ◽  
Riande I. Dekker ◽  
Maximilian Hofmann ◽  
...  

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