Influence of hydrodynamic interactions on the ballistic deposition of colloidal particles on solid surfaces

Pagonabarraga, Ignacio; Wojtaszczyk, Przemysław; Rubı́, J. M.; Senger, Bernard; Voegel, Jean‐Claude; Schaaf, Pierre

doi:10.1063/1.472604

Cited by 22 publications

(10 citation statements)

References 20 publications

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“…Our experimental kinetic data were interpreted in terms of numerical simulations performed according to the BD model 4-6 briefly described in the Introduction. Details on the simulation performed using this algorithm were given elsewhere …”

Section: Methodsmentioning

confidence: 99%

Deposition Kinetics of Particles at a Solid Surface Governed by the Ballistic Deposition Model

et al. 1998

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The deposition kinetics of polymeric microspheres (average diameter 8.742 µm, density 1.50 g‚cm -3 ) on smooth silica plates was determined experimentally. The measurements were carried out in a sedimentation cell using a direct microscope observation technique supplemented by the image analysis. The experimental data were interpreted in terms of the ballistic deposition (BD) model, where the irreversibility of the adsorption is assumed. It was found that both deposition kinetics and the jamming coverage (determined to be 0.60 ( 0.02) were in quantitative agreement with the BD model. Our experimental data constitute, therefore, a direct proof of the validity of this model for characterizing particle deposition processes driven by a strong gravitational force field.

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Section: Methodsmentioning

confidence: 99%

Deposition Kinetics of Particles at a Solid Surface Governed by the Ballistic Deposition Model

et al. 1998

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“…On the other hand, computer simulation is a useful tool to analyze the behavior of particle adsorption onto a substrate. The random sequential adsorption ͑RSA͒ model, 11 fol-lowed by some improvements, [12][13][14][15][16][17][18][19] has been mainly used to describe the long-time adsorption behavior of colloidal particles onto a strongly attractive substrate, and to predict the maximum surface coverage, known as the jamming limit. The RSA model is, however, a two-dimensional model, which includes neither the effect of particle concentration in bulk nor surface diffusion of adsorbed particles.…”

Section: Introductionmentioning

confidence: 99%

Adsorption and order formation of colloidal nanoparticles on a substrate: A Brownian dynamics study

Miyahara¹,

Watanabe²,

Gotoh³

et al. 2004

The Journal of Chemical Physics

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Adsorption process and order formation of electrostatically stabilized colloidal particles with a radius of 50 nm onto a planar surface with countercharge are examined. We perform Brownian dynamics simulations with a new three-dimensional cell model, in which the particle-particle and particle-substrate interactions are modeled based on the DLVO theory. The simulations yield the following results: (1) a larger bulk concentration would be required for larger kappaa to reach order formation to compensate for the decrease in the bulk potential; (2) the phase transition from a disordered to an ordered structure of the adsorbed particles on the substrate is considered to be of the Kirkwood-Alder type of transition through the examination of the two-dimensional pressure of the adsorbed particles; (3) the adsorbed particles are found to form a hexagonally ordered array, only if what we call "one-directional average force" acting on an adsorbed particle exceeds a critical value, which is independent of the ionic strength, or the interaction potentials. The critical value of the one-directional average force is interpreted as the force needed to keep an ordered structure by localizing adsorbed particles at fixed positions. In addition, the critical force is used to develop a new model to estimate the surface coverage at the order-disorder transition and it is demonstrated that the new model gives better estimation than other models previously reported.

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“…This is especially true if medium or fluctuation induced interactions interfere with the process as for example in the several recently studied systems involving proteins, colloids or latex particles [5][6][7][8], or in sedimentation. The major interaction one has to reckon with, as detailed numerical computations suggest [9,10], is the long ranged hydrodynamic interaction. Are such long range interactions relevant for the roughness of the surface?…”

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Nonlocality in Kinetic Roughening

Mukherji

Bhattacharjee

1997

Phys. Rev. Lett.

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We propose a phenomenological equation to describe kinetic roughening of a growing surface in the presence of long range interactions. The roughness of the evolving surface depends on the long range feature, and several distinct scenarios of phase transitions are possible. Experimental implications are discussed. [S0031-9007(97) PACS numbers: 68.35.Fx, 05.40. + j, 05.70.Ln, 64.60.Ht "Suppose that we take a bin and gently and uniformly pour in granular material. As the material in the bin builds up we can identify a surface and ask the question, 'What is the magnitude of the fluctuation in the height of surface (measured from the base of the bin)?' Also of interest is the length scale of the surface fluctuations and how they behave dynamically as more material is added" [1]. And thus was born the Edwards-Wilkinson (EW) model for surface growth-a solvable linear model at the heart of our current understanding of numerous growth processes. A relevant nonlinear term, added to this by Kardar-Parisi-Zhang (KPZ) [2][3][4], brought to light the nuances of growth phenomena to the extent that the KPZ equation very soon became a paradigm, in particular for dynamic phase transitions. The applicability of the KPZ equation seems to encompass length scales from an atomic level to macroscopic phenomena of everyday life, but still a specter is haunting the field: Why is the KPZ behavior not observed [3]?Many of the experimental situations, however, involve complex processes which beg to go beyond the idealization, as pouring of noninteracting particles. This is especially true if medium or fluctuation induced interactions interfere with the process as, for example, in the several recently studied systems involving proteins, colloids or latex particles [5][6][7][8], or in sedimentation. The major interaction one has to reckon with, as detailed numerical computations suggest [9,10], is the long ranged hydrodynamic interaction. Are such long range interactions relevant for the roughness of the surface? This question, the absence of a formalism to handle such interactions in the growth process, and the elusiveness of the KPZ behavior, led us to propose a simple phenomenological model by focusing on the long range nature of the extra force.We developed a Langevin equation-type description, where long range aspects can be simulated by a force at each point of the growing surface exerted by the particles away from it-a hint to go beyond a strict local description. In the linear EW model, the growth is along the global normal to the surface without any overhang. The height h͑r, t͒, at point r and time t, satisfies the diffusion equation with an additional noise term. If, instead of the global, the local normal is favored, the KPZ ͑=h͒ 2 term is needed [2]. This nonlinear term describes the lateral growth at a point that can be seen from the height profile [3,4]. We now extend this physical interpretation and take the gradient (or its magnitude) as a measure of the local density of deposited particles. The long range effect is now inc...

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Influence of hydrodynamic interactions on the ballistic deposition of colloidal particles on solid surfaces

Cited by 22 publications

References 20 publications

Deposition Kinetics of Particles at a Solid Surface Governed by the Ballistic Deposition Model

Deposition Kinetics of Particles at a Solid Surface Governed by the Ballistic Deposition Model

Adsorption and order formation of colloidal nanoparticles on a substrate: A Brownian dynamics study

Nonlocality in Kinetic Roughening

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