Nanoparticle Taylor Dispersion Near Charged Surfaces with an Open Boundary

Vilquin, Alexandre; Bertin, Vincent; Raphaël, Élie; Dean, David S.; Salez, Thomas; McGraw, Joshua D.

doi:10.1103/physrevlett.130.038201

Cited by 4 publications

(5 citation statements)

References 59 publications

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“…Urgency arises from the escalating prevalence of practical applications and the unexplored frontiers of new mechanisms. The dispersion analysis has undergone substantial extensions (Brenner & Edwards 1993;Bello, Rezzonico & Righetti 1994;Biswas & Sen 2007;Jiang & Chen 2019;Wu et al 2020Wu et al , 2023Nakad et al 2021;Wang & Cirpka 2021;Vilquin et al 2023). Particle loss resulting from either particle absorption or chemical reactions can alter significantly the probability distributions, thereby introducing intricacies into dispersion models (Zhang, Hesse & Wang 2017;Jiang et al 2022;Vilquin et al 2023).…”

Section: Literature Reviewmentioning

confidence: 99%

“…The dispersion analysis has undergone substantial extensions (Brenner & Edwards 1993;Bello, Rezzonico & Righetti 1994;Biswas & Sen 2007;Jiang & Chen 2019;Wu et al 2020Wu et al , 2023Nakad et al 2021;Wang & Cirpka 2021;Vilquin et al 2023). Particle loss resulting from either particle absorption or chemical reactions can alter significantly the probability distributions, thereby introducing intricacies into dispersion models (Zhang, Hesse & Wang 2017;Jiang et al 2022;Vilquin et al 2023). Activity and reactivity could play a critical role in Taylor dispersion, particularly in the context of chemistry and life sciences (Hong et al 2020;Deleanu et al 2021;Jiang & Chen 2021;Moser & Baker 2021;Guan et al 2023;Wang et al 2023).…”

Section: Literature Reviewmentioning

confidence: 99%

“…2021; Wang & Cirpka 2021; Vilquin et al. 2023). Particle loss resulting from either particle absorption or chemical reactions can alter significantly the probability distributions, thereby introducing intricacies into dispersion models (Zhang, Hesse & Wang 2017; Jiang et al.…”

Section: Literature Reviewmentioning

confidence: 99%

“…2022; Vilquin et al. 2023). Activity and reactivity could play a critical role in Taylor dispersion, particularly in the context of chemistry and life sciences (Hong et al.…”

Section: Literature Reviewmentioning

confidence: 99%

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Streamwise dispersion of soluble matter in solvent flowing through a tube

Guan,

Chen

2024

J. Fluid Mech.

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For the dispersion of soluble matter in solvent flowing through a tube as investigated originally by G.I. Taylor, a streamwise dispersion theory is developed from a Lagrangian perspective for the whole process with multi-scale effects. By means of a convected coordinate system to decouple convection from diffusion, a diffusion-type governing equation is presented to reflect superposable diffusion processes with a multi-scale time-dependent anisotropic diffusivity tensor. A short-time benchmark, complementing the existing Taylor–Aris solution, is obtained to reveal novel statistical and physical features of mean concentration for an initial phase with isotropic molecular diffusion. For long times, effective streamwise diffusion prevails asymptotically corresponding to the overall enhanced diffusion in Taylor's classical theory. By inverse integral expansions of local concentration moments, a general streamwise dispersion model is devised to match the short- and long-time asymptotic solutions. Analytical solutions are provided for most typical cases of point and area sources in a Poiseuille tube flow, predicting persistent long tails and skewed platforms. The theoretical findings are substantiated through Monte Carlo simulations, from the initial release to the Taylor dispersion regime. Asymmetries of concentration distribution in a circular tube are certified as originated from (a) initial non-uniformity, (b) unidirectional flow convection, and (c) non-penetration boundary effect. Peculiar peaks in the concentration cloud, enhanced streamwise dispersivity and asymmetric collective phenomena of concentration distributions are illustrated heuristically and characterised to depict the non-equilibrium dispersion. The streamwise perspective could advance our understanding of macro-transport processes of both passive solutes and active suspensions.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

“…2022; Vilquin et al. 2023). Activity and reactivity could play a critical role in Taylor dispersion, particularly in the context of chemistry and life sciences (Hong et al.…”

Section: Literature Reviewmentioning

confidence: 99%

See 2 more Smart Citations

Streamwise dispersion of soluble matter in solvent flowing through a tube

Guan,

Chen

2024

J. Fluid Mech.

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“…Investigations of interactions between nanoparticles and material surfaces of different nature are of profound importance for physics and its applications in nanotechnology, including bioelectronics (see, e.g., the following articles and reviews [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]). The microparticle-surface interaction includes several contributions, among which are mechanical contact forces, Born repulsion, and attractive dispersion forces [18,19].…”

Section: Introductionmentioning

confidence: 99%

Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium

Korikov¹,

Mostepanenko

Tsybin

2023

Applied Sciences

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We consider the nonequilibrium dispersion force acting on nanoparticles on the source side of a gapped graphene sheet. Nanoparticles are kept at the environmental temperature, whereas the graphene sheet may be either cooler or hotter than the environment. Calculation of the dispersion force as a function of separation at different values of the mass-gap parameter is performed using the generalization of the fundamental Lifshitz theory to out-of-thermal-equilibrium conditions. The response of the gapped graphene to quantum and thermal fluctuations in the electromagnetic field is described by the polarization tensor in (2+1)-dimensional space–time in the framework of the Dirac model. The explicit expressions for the components of this tensor in the area of evanescent waves are presented. The nontrivial impact of the mass-gap parameter of graphene on the nonequilibrium dispersion force, as compared to the equilibrium one, is determined. It is shown that, unlike the case of pristine graphene, the nonequilibrium force preserves an attractive character. The possibilities of using the obtained results in the design of micro- and nanodevices, incorporating nanoparticles and graphene sheets for their functionality, is discussed.

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Interactions enhance dispersion in fluctuating channels via emergent flows

Wang,

Dean,

Marbach

et al. 2023

J. Fluid Mech.

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Understanding particle motion in narrow channels can guide progress in numerous applications, from filtration to vascular transport. Thermal or active fluctuations of fluid-filled channel walls can slow down or increase the dispersion of tracer particles via entropic trapping in the wall bulges or hydrodynamic flows induced by wall fluctuations, respectively. Previous studies concentrated primarily on the case of a single Brownian tracer. Here, we address what happens when there is a large ensemble of interacting Brownian tracers – a common situation in applications. Introducing repulsive interactions between tracer particles, while ignoring the presence of a background fluid, leads to an effective flow field. This flow field enhances tracer dispersion, a phenomenon reminiscent of that seen for single tracers in incompressible background fluid. We characterise the dispersion by the long-time diffusion coefficient of tracers numerically and analytically with a mean-field density functional analysis. We find a surprising effect where an increased particle density enhances the diffusion coefficient, challenging the notion that crowding effects tend to reduce diffusion. Here, inter-particle interactions push particles closer to the fluctuating channel walls. Interactions between the fluctuating wall and the now-nearby particles then drive particle mixing. Our mechanism is sufficiently general that we expect it to apply to various systems. In addition, our perturbation theory quantifies dispersion in generic advection–diffusion systems.

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Nanoparticle Taylor Dispersion Near Charged Surfaces with an Open Boundary

Cited by 4 publications

References 59 publications

Streamwise dispersion of soluble matter in solvent flowing through a tube

Streamwise dispersion of soluble matter in solvent flowing through a tube

Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium

Interactions enhance dispersion in fluctuating channels via emergent flows

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