Numerical study of colloidal suspensions of soft spherical particles using the network method

López-Garcı́a, J.J.; Grosse, Constantino; Horno, J.

doi:10.1016/s0021-9797(03)00537-x

Cited by 69 publications

(101 citation statements)

References 8 publications

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“…(65) When the magnitude of ψ(x) is arbitrary, one must solve the original nonlinear Poisson-Boltzmann equations (52)- (54). Consider the case of two parallel similar plates in a symmetrical electrolyte with valence z and bulk concentration n. In this case, we need to consider only the region −d < x < h/2 so that the Poisson-Boltzmann equations to be solved are [4,10] …”

Section: Two Parallel Semi-infinite Soft Platesmentioning

confidence: 99%

“…Successful application of that model has been reported for humic acids [46], bacteria [47] and red blood cells [48]. For numerical calculations of the electrophoretic mobility based on more rigorous theories, the readers are referred to the studies of Hill et al [49][50][51][52] and Lopez-Garcia et al [53][54][55] as well as that of Duval and Ohshima [45].…”

Section: Electrophoretic Mobility Of Soft Particlesmentioning

confidence: 99%

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Theory of electrostatics and electrokinetics of soft particles

Ohshima

2009

Science and Technology of Advanced Materials

139

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We investigate theoretically the electrostatics and electrokinetics of a soft particle, i.e. a hard particle covered with an ion-penetrable surface layer of polyelectrolytes. The electric properties of soft particles in an electrolyte solution, which differ from those of hard particles, are essentially determined by the Donnan potential in the surface layer. In particular, the Donnan potential plays an essential role in the electrostatics and electrokinetics of soft particles. Furthermore, the concept of zeta potential, which is important in the electrokinetics of hard particles, loses its physical meaning in the electrokinetics of soft particles. In this review, we discuss the potential distribution around a soft particle, the electrostatic interaction between two soft particles, and the motion of a soft particle in an electric field.

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Section: Two Parallel Semi-infinite Soft Platesmentioning

confidence: 99%

Section: Electrophoretic Mobility Of Soft Particlesmentioning

confidence: 99%

Theory of electrostatics and electrokinetics of soft particles

Ohshima

2009

Science and Technology of Advanced Materials

139

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“…The following derivation of the force is inspired by López-Garcia et al [21], who used it to ascertain the forces on soft spheres with uniform coatings. Here it is generalized for the non-uniform layers.…”

Section: Force Evaluationmentioning

confidence: 99%

“…(3) are the same as those of López-Garcia et al [21], which they implicitly expressed in terms of the axial vorticity Ω and its radial derivative Ω r . In the present work, the permeability ℓ 2 is not a constant, so the radial integrals must be evaluated numerically.…”

Section: Force Evaluationmentioning

confidence: 99%

Corona charge regulation in nanoparticle electrophoresis

Hill¹

2015

Proc. R. Soc. A.

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Nanoparticle size and charge play key roles in bioconjugation chemistry, imaging, and drug-delivery. Although the electrophoretic mobility and hydrodynamic size are routinely measured, interpreting these data can be extremely difficult. Here, the challenge is addressed via an electrokinetic model for spheres bearing a soft amphoteric corona, the charge of which is regulated by a multicomponent electrolyte. The model is applied to nanoparticles with a metallic core to which are grafted poly(ethylene glycol) (PEG) chains with either weak acid or amphiprotic end groups. The results elucidate the separate roles of electrolyte pH and ionic strength on the electrophoretic mobility and diffusion coefficient. In this study, the forces were evaluated directly, rather than from the Stokeslet velocity disturbances. While second-order convergence was demonstrated by both methods, the direct approach, which uses only the inner part of the global solution, furnished superior accuracy and robustness. This may benefit future attempts to model the dielectric and electroacoustic properties of these complex nanoparticulates.

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“…Nevertheless, particularly for particles embedded in a charged Brinkman medium, there are conceptual benefits to be gained by directly evaluating the forces, since the total force can be broken down into several separate contributions, each of which has a clear physical origin. The following derivation is inspired by López-Garcia et al [40], who used it to ascertain the forces on soft spheres with uniform coatings in Newtonian electrolytes (using network-modelling software to solve the model equations).…”

Section: Perturbed Pressure and Forcesmentioning

confidence: 99%

Hydrogel charge regulation and electrolyte ion-concentration perturbations in nanoparticle gel electrophoresis

Hill¹

2015

Proc. R. Soc. A.

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Gel electrophoresis of spherical nanoparticles (NPs) is studied using an electrokinetic model that couples the ion conservation equations to the Poisson and fluid momentum equations, thus including the so-called polarization and relaxation processes. This model is therefore the chargedgel electrophoresis analogue of the well-known O'Brien and White solution of the standard electrokinetic model for free-solution electrophoresis. Results are provided for the small NPs (size ∼ 10 nm) to which gelelectrophoresis is relevant, since particles must be small enough to permeate the gel: these include the particle drag coefficient (or Brownian diffusivity), which is subject to hydrodynamic screening and electroviscous effects, and the electrophoretic mobility, which is subject to non-linear electrostatic and charge polarization influences. Also addressed are the influences of charge-regulating gels and the accompanying particle-induced immobile charge-density perturbations. Ion-concentration perturbations attenuate the electrophoretic mobility and enhance the drag coefficient according to the particle charge and the mobility of the most abundant counterion. However, dynamic regulation of the hydrogel charge-termed the secondary immobile charge-density perturbation-has a negligible influence on the particle mobility, and may therefore be neglected for most practical purposes.

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Numerical study of colloidal suspensions of soft spherical particles using the network method

Cited by 69 publications

References 8 publications

Theory of electrostatics and electrokinetics of soft particles

Theory of electrostatics and electrokinetics of soft particles

Corona charge regulation in nanoparticle electrophoresis

Hydrogel charge regulation and electrolyte ion-concentration perturbations in nanoparticle gel electrophoresis

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