Influence of Polydispersity on Random Sequential Adsorption of Spherical Particles

Adamczyk, Zbǐgniew; Siwek, Barbara; Zembala, Maria; Weroński, Paweł

doi:10.1006/jcis.1996.4540

Cited by 94 publications

(81 citation statements)

References 6 publications

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“…10. As can be observed the structure of particle monolayers for λ = 2 at heterogeneous surfaces resembles closely the structure monolayer predicted theoretically and observed at homogeneous surfaces for polydisperse particle systems (27). This indicates that adsorption at sites occurs in various planes, so particle projections on the interface can overlap.…”

Section: Numerical Resultssupporting

confidence: 60%

“…This requirement is fulfilled for micrometer-sized particles under forced convection transport conditions only (28). For smaller particles and the diffusion-controlled transport conditions the coupling between the bulk and surface transport should be considered via the approach developed in (24,27,28) for uniform surfaces. According to this model, Eq.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Although this effect is interesting from a theoretical point of view, it will be difficult to measure experimentally. This is so because in practice it is very difficult to measure the surface coverage of particles with a relative accuracy better than 5% due, for example, to the polydispersity effects (27).…”

Section: Numerical Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Colloid Particle Adsorption at Random Site (Heterogeneous) Surfaces

Adamczyk¹,

Weroński²,

Musiał³

2002

Journal of Colloid and Interface Science

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Section: Numerical Resultssupporting

confidence: 60%

Section: Numerical Resultsmentioning

confidence: 99%

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Colloid Particle Adsorption at Random Site (Heterogeneous) Surfaces

Adamczyk¹,

Weroński²,

Musiał³

2002

Journal of Colloid and Interface Science

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“…As a colloid travels through the fracture, the transport mechanisms (advection and diffusion) may eventually bring the particle close enough to the aperture surface to have the opportunity to establish a fracture wall contact resulting from local interaction forces between the colloid and the liquid-solid matrix interface. The probability of the particle being placed (sticking probability) per wall collision is calculated by the Boltzmann law [Adamczyk et al, 1991] where 4• is the repulsive energy of interaction of the particle with the fracture surface ( 4• -• 1 Ok T) [Adamczyk et al, 1997]. The Boltzmann law assumes that if a particle comes into contact with a fracture wall it is either adsorbed with probabilityp or reflected.…”

Section: Kinetic Relationshipmentioning

confidence: 99%

Transport of polydisperse colloid suspensions in a single fracture

James¹,

Chrysikopoulos²

1999

Water Resources Research

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Abstract. The transport of variably sized colloids (polydisperse) in a fracture with uniform aperture is investigated by a particle-tracking model that treats colloids as discrete particles with unique transport properties while accounting for either matrix diffusion or irreversible colloid deposition. For the special case of a monodisperse colloid suspension the particle-tracking model is in perfect agreement with predictions based on an existing analytical solution. It is shown that lognormal colloid size distributions exhibit greater spreading than monodisperse suspensions. Increasing the fracture porosity of the solid matrix leads to higher matrix diffusion, which in turn delays particle breakthrough for both the monodisperse and variably sized colloid suspensions. The smallest particles of a distribution are more greatly affected by matrix diffusion whereas the largest particles are transported faster and further along a fracture. Both perfect sink and kinetic colloid deposition onto fracture surfaces are examined. Kinetic deposition accounts for colloid surface exclusion by either a linear or nonlinear blocking function. For both cases the smallest colloid particles tend to preferentially deposit onto the fracture wall. Both matrix diffusion and surface deposition tend to discretize colloid distributions according to particle size so that larger particles are least retarded and smaller particles are more slowly transported. Furthermore, it is shown that the rate of colloid deposition is inversely proportional to the fracture aperture. Colloid transport differs from solute transport because of colloidal particle interactions (e.g., flocculation), mechanical clogging effects, and surface reactions (e.g., attachment). The adsorption process of colloids onto solid surfaces is often termed as deposition, attachment, or filtration. Deposition of colloids is generally affected by Brownian motion, the repulsive electric double layer, attractive van der Waals forces, and solution 707

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“…The disclosed mechanism may lead to engineering defects by size polydispersity. aspects including crystallization (20), granular dynamics (21), and adsorption (22), and may even kinetically inhibit the formation of regular phases (18).…”

Section: Significancementioning

confidence: 99%

Polydispersity-driven topological defects as order-restoring excitations

Yao

Cruz

2014

Proc. Natl. Acad. Sci. U.S.A.

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The engineering of defects in crystalline matter has been extensively exploited to modify the mechanical and electrical properties of many materials. Recent experiments on manipulating extended defects in graphene, for example, show that defects direct the flow of electric charges. The fascinating possibilities offered by defects in two dimensions, known as topological defects, to control material properties provide great motivation to perform fundamental investigations to uncover their role in various systems. Previous studies mostly focus on topological defects in 2D crystals on curved surfaces. On flat geometries, topological defects can be introduced via density inhomogeneities. We investigate here topological defects due to size polydispersity on flat surfaces. Size polydispersity is usually an inevitable feature of a large variety of systems. In this work, simulations show well-organized induced topological defects around an impurity particle of a wrong size. These patterns are not found in systems of identical particles. Our work demonstrates that in polydispersed systems topological defects play the role of restoring order. The simulations show a perfect hexagonal lattice beyond a small defective region around the impurity particle. Elasticity theory has demonstrated an analogy between the elementary topological defects named disclinations to electric charges by associating a charge to a disclination, whose sign depends on the number of its nearest neighbors. Size polydispersity is shown numerically here to be an essential ingredient to understand short-range attractions between like-charge disclinations. Our study suggests that size polydispersity has a promising potential to engineer defects in various systems including nanoparticles and colloidal crystals.crystallography | geometric frustration | soft particles | dislocation

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Influence of Polydispersity on Random Sequential Adsorption of Spherical Particles

Cited by 94 publications

References 6 publications

Colloid Particle Adsorption at Random Site (Heterogeneous) Surfaces

Colloid Particle Adsorption at Random Site (Heterogeneous) Surfaces

Transport of polydisperse colloid suspensions in a single fracture

Polydispersity-driven topological defects as order-restoring excitations

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