Cooperative sequential-adsorption model in two dimensions with experimental applications for ionic self-assembly of nanoparticles

Cook, L. Jonathan; Mazilu, Dan; Mazilu, Irina; Simpson, Brian; Schwen, Eric; Kim, V O; Seredinski, Andrew

doi:10.1103/physreve.89.062411

Cited by 10 publications

(5 citation statements)

References 25 publications

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“…We believe that our approach may be useful for future experimental work because it suggests a procedure to identify the characteristic time τ and shows how the adsorbate features at times of this order are related to polydispersity. Our results may also be useful in future RSA studies, for instance to models including particle interactions, particle mobility, and other particle shapes and substrate structures [54,55]. The detailed study of features at times of order τ may also be interesting in off-lattice (continuum) RSA, for instance considering the variety of particle shapes studied in recent works for modeling compact and branched structures [56,57].…”

Section: Discussionmentioning

confidence: 73%

Random sequential adsorption of polydisperse mixtures on lattices

Hart

Reis

2016

Phys. Rev. E

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Random sequential adsorption of linear and square particles with excluded volume interaction is studied numerically on planar lattices considering Gaussian distributions of lateral sizes of the incident particles, with several values of the average μ and of the width-to-average ratio w. When the coverage θ is plotted as function of the logarithm of time t, the maximum slope is attained at a time t_{M} of the same order of the time τ of incidence of one monolayer, which is related to the molecular flux and/or sticking coefficients. For various μ and w, we obtain 1.5τ

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Section: Discussionmentioning

confidence: 73%

Random sequential adsorption of polydisperse mixtures on lattices

Hart

Reis

2016

Phys. Rev. E

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“…The deposition rate depends on the number of occupied neighbours. A complete derivation of this equation can be found in Cook et al [13].…”

Section: Rate Equation For the Particle Densitymentioning

confidence: 99%

“…After relating the model parameters to physical ones, we are able to use our model to create films with specific particle densities. For example, the concentration of the colloidal suspension was linked to the level of particle interaction and the final particle density in a recent paper [13].…”

Section: Two-dimensional Lattice and Ionic Self-assembly Of Nanoparti...mentioning

confidence: 99%

A two-state stochastic model for nanoparticle self-assembly: theory, computer simulations and applications

Schwen

Mazilu

2014

Eur. J. Phys.

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We introduce a stochastic cooperative model for particle deposition and evaporation relevant to ionic self-assembly of nanoparticles with applications in surface fabrication and nanomedicine, and present a method for mapping our model onto the Ising model. The mapping process allows us to use the established results for the Ising model to describe the steady-state properties of our system. After completing the mapping process, we investigate the time dependence of particle density using the mean field approximation. We complement this theoretical analysis with Monte Carlo simulations that support our model. These techniques, which can be used separately or in combination, are useful as pedagogical tools because they are tractable mathematically and they apply equally well to many other physical systems with nearest-neighbour interactions including voter and epidemic models.

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“…Noncontact manipulation plays a significant role in a large number of modern scientific and technological fields, such as biophysics [1], life science [2,3], and nanotechnology [4]. Since Ashkin's pioneering work on optical tweezers was performed in the early 1970s [5], optical tweezers have become a favorite way to manipulate particles.…”

Section: Introductionmentioning

confidence: 99%

Stable Acoustic Pulling in Two-Dimensional Phononic Crystal Waveguides Based on Mode Manipulation

Gao,

Cao,

Zhu

et al. 2023

Photonics

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Acoustic manipulation is a set of versatile platforms with excellent manipulation capabilities. In recent years, researchers have increasingly achieved specific manipulations beyond the translation and capture of particles. Here, we focus on the acoustic field momentum mechanism that generates an acoustic radiation force (ARF). A phononic crystal (PC) waveguide is established to amplify the forward momentum of the acoustic beam through the mode conversion of the acoustic field. Based on the conservation of momentum, the object gains reverse momentum. Thus, acoustic pulling can be achieved through the mode conversion of the acoustic field. Furthermore, we analyze the ARFs of two identical objects. It turns out that they can be manipulated separately by opposing forces. Our study provides a new way to achieve stable long-range acoustic pulling, and will explore, beneficially, the interaction between acoustic waves and matter.

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Cooperative sequential-adsorption model in two dimensions with experimental applications for ionic self-assembly of nanoparticles

Cited by 10 publications

References 25 publications

Random sequential adsorption of polydisperse mixtures on lattices

Random sequential adsorption of polydisperse mixtures on lattices

A two-state stochastic model for nanoparticle self-assembly: theory, computer simulations and applications

Stable Acoustic Pulling in Two-Dimensional Phononic Crystal Waveguides Based on Mode Manipulation

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