Instability Deposit Patterns in an Evaporating Droplet

Jung, Narina; Yoo, Chun Sang; Leo, Perry H.

doi:10.1021/jp4111844

Cited by 11 publications

(13 citation statements)

References 35 publications

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“…These models are usually based on Monte Carlo or molecular dynamics methods [33,41,[43][44][45][46][47]. Some Monte Carlo based models are lattice models [48][49][50], and some are not [27,51,52]. The flow velocity is often calculated analytically for simple particular cases [45,[49][50][51][52][53].…”

Section: Figmentioning

confidence: 99%

“…Some Monte Carlo based models are lattice models [48][49][50], and some are not [27,51,52]. The flow velocity is often calculated analytically for simple particular cases [45,[49][50][51][52][53]. The obtained velocity field is taken into account for calculations of the particles dynamics.…”

Section: Figmentioning

confidence: 99%

“…The computational experiment was carried out for different wetting angles and three-phase boundary modes. Jung et al used a model with a circular lattice to describe the coffee-ring effect mathematically [50]. A computational method which allows one to calculate the capillary attraction forces between particles in a thin film is presented in [55].…”

Section: Figmentioning

confidence: 99%

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Joint effect of advection, diffusion, and capillary attraction on the spatial structure of particle depositions from evaporating droplets

Kolegov

Barash

2019

Phys. Rev. E

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A simplified model is developed, which allows us to perform computer simulations of the particles transport in an evaporating droplet with a contact line pinned to a hydrophilic substrate. The model accounts for advection in the droplet, diffusion and particle attraction by capillary forces. On the basis of the simulations, we analyze the physical mechanisms of forming of individual chains of particles inside the annular sediment. The parameters chosen correspond to the experiments of Park and Moon [Langmuir 22, 3506 (2006)], where an annular deposition and snakelike chains of colloid particles have been identified. The annular sediment is formed by advection and diffusion transport. We find that the close packing of the particles in the sediment is possible if the evaporation time exceeds the characteristic time of diffusion-based ordering. We show that the chains are formed by the end of the evaporation process due to capillary attraction of particles in the region bounded by a fixing radius, where the local droplet height is comparable to the particle size. At the beginning of the evaporation, the annular deposition is shown to expand faster than the fixing radius moves. However, by the end of the process, the fixing radius rapidly outreaches the expanding inner front of the ring. The snakelike chains are formed at this final stage when the fixing radius moves toward the symmetry axis. arXiv:1903.06003v2 [cond-mat.soft]

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Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

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Joint effect of advection, diffusion, and capillary attraction on the spatial structure of particle depositions from evaporating droplets

Kolegov

Barash

2019

Phys. Rev. E

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“…Given that the exact ground state solution has a 1 S term symbol [ 24,25 ] a natural choice for the spatial functions, ψ , are the zeroth‐order spherical Bessel functions (also the solutions to the single particle‐in‐a‐spherical box problem), such that:

normalψ ((), r) = \frac{1}{\sqrt{4 π}} \sum_{μ = 1}^{μ_{\max}} c_{μ} N_{μ} j_{0} ((), α_{μ} r)

where N μ are appropriate normalization constants:

N_{μ} = \sqrt{\frac{2}{R^{3}}} \frac{μπ}{{(() -)}^{μ + 1}}

and

j_{0} ((), r) = \frac{\sin ((), r)}{r}

…”

Section: The Model Problemmentioning

confidence: 99%

“…A particular class of “particles‐in‐a‐box” problem, that of two electrons confined to an infinite spherical potential (dubbed Ballium), has been investigated at a variety of levels of theory (restricted‐ and unrestricted Hartree‐Fock, Full Configuration Interaction with large but finite basis sets, and DFT). [ 24‐27 ] Loos and Gill extended and completed this prior work through their exploration of the ground‐state correlation energy E c for two anti‐parallel spin electrons confined within the D ‐dimensional analog of the Ballium geometry. [ 28‐30 ]…”

Section: Introductionmentioning

confidence: 99%

Information theory and Wigner crystallization: A model perspective

Thompson¹,

Anderson

Sen

2020

Int J of Quantum Chemistry

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Accurate restricted Hartree‐Fock (RHF) wave‐functions are used to investigate information theoretic properties of the model problem of two interacting electrons confined within an infinite spherical potential of radius R. Benchmark quality calculations are performed to characterize this system via a range of information measures as a function of the tunable parameter R, across the full electron correlation regime (low to high correlation; small R to large R). Both the Shannon information entropy and a statistical complexity measure provide quantitative insight regarding the onset of the formation of a “Wigner molecule” state for this system.

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