Coalescence of viscous two-dimensional smectic islands

Shuravin, N. S.; Долганов, П. В.; Долганов, В. К.

doi:10.1103/physreve.99.062702

Cited by 27 publications

(19 citation statements)

References 23 publications

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“…In the horizontal cross section (Figure 2c), there is a pair of stationary points which do not experience any displacement. A similar situation was found in coalescence of 2D smectic islands 34 . The coalescence is accompanied by flow in the surrounding film as seen in figure 3.…”

Section: Resultssupporting

confidence: 74%

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On droplets coalescence in a quasi-2D fluid

Klopp,

Eremin

2020

Preprint

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The coalescence of droplets plays a crucial role in nature and modern technology. Various experimental and theoretical studies explored droplet dynamics in 3D and on 2D solid or liquid substrates. In this paper, we demonstrate the coalescence of isotropic droplets confined in thin quasi-2D liquids -overheated smectic films. We observe the merging of micrometersized flat droplets using high-speed-imaging and analyse the shape transformations of the droplets on the timescale of milliseconds. Our studies reveal the scaling laws of the coalescence time, which exhibits a different dependence on the droplet geometry than in case of droplets on a solid substrate. A theoretical model is proposed to explain the difference in behaviour.

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Section: Resultssupporting

confidence: 74%

“…In contrast to the 3D geometry, the line tension drives the coalescence in 2D, which is accompanied by the planar flows. Experimental realisations of 2D coalescence in freely suspended liquid crystal films were made by Dolganov et al 34 in air and on a liquid water substrate by Delabre et al 35 .…”

Section: Introductionmentioning

confidence: 99%

On droplets coalescence in a quasi-2D fluid

Klopp,

Eremin

2020

Preprint

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“…For two infinite isotropic fluid cylinders with the same radius, Hopper [61,62] developed an exact theory based on the assumption of creeping planar viscous flow, parameterizing the coalescece in the plane through a 1-parameter family of closed inverse ellipses of constant area. This theory has been shown to be qualitatively consistent with a bridge growing between two smectic islands [63,64], although with a slower temporal evolution. In a thin smectic-A liquid crystal equilibrium, which is freely suspended, islands are regions with more smectic layers than the embedding film, resulting in smectic cylinders enveloped by outer layers, bounded by edge dislocation loops.…”

Section: A Coalescence Of Smectic Cylindrical Domainsmentioning

confidence: 60%

“…In contrast to ordinary fluids, Nguyen et al [64,65] showed that permeation through the molecular layers of the merging islands is an additional channel for dissipative motion, not included in Hopper's model, and it may be responsible for the observed slow coarsening dynamics. Coalescence of smectic islands [63,64] and holes [66] have been observed in freely-suspended smectic films (FSSF) with layers parallel to the surface of the film, with thicknesses that can range from two layers up to thousands of layers.…”

Section: A Coalescence Of Smectic Cylindrical Domainsmentioning

confidence: 99%

Phase-field model for a weakly compressible soft layered material: morphological transitions on smectic-isotropic interfaces

Vitral,

Leo,

Viñals

2021

Preprint

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A coupled phase-field and hydrodynamic model is introduced to describe a two-phase, weakly compressible smectic (layered phase) in contact with an isotropic fluid of different density. A nonconserved smectic order parameter is coupled to a conserved mass density in order to accommodate non-solenoidal flows near the smectic-isotropic boundary arising from density contrast between the two phases. The model aims to describe morphological transitions in smectic thin films under heat treatment, in which arrays of focal conic defects lead to conical pyramids and concentric rings through curvature dependent evaporation of smectic layers. The model leads to an extended thermodynamic relation at a curved surface that includes its Gaussian curvature, non-classical stresses at the boundary and flows arising from density gradients. The temporal evolution given by the model conserves the overall mass of the liquid crystal while still allowing for the modulated smectic structure to grow or shrink. A numerical solution of the governing equations reveals that pyramidal domains are sculpted at the center of focal conics upon a temperature increase, which display tangential flows at their surface. Other cases investigated include the possible coalescence of two cylindrical stacks of smectic layers, formation of droplets, and the interactions between focal conic domains through flow.

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“…In contrast to the 3D geometry, the line tension drives the coalescence in 2D, which is accompanied by the planar flows. Experimental realizations of 2D coalescence in freely suspended liquid crystal films were made by Dolganov et al 37,38 and Nguyen et al 39 in air and on a liquid water substrate by Delabre and Cazabat. 40 In the present paper, we explore the coalescence dynamics of flat liquid droplets in a thin smectic-A film.…”

Section: ■ Introductionmentioning

confidence: 99%

On Droplet Coalescence in Quasi-Two-Dimensional Fluids

Klopp

Eremin

2020

Langmuir

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Coalescence of droplets plays a crucial role in nature and modern technology. Various experimental and theoretical studies explored droplet dynamics in three-dimensional (3D) and on 2D solid or liquid substrates. In this paper, we demonstrate the complete coalescence of isotropic droplets in thin quasi-2D liquidsoverheated smectic films. We observe the merging of micrometer-sized flat droplets using high-speed imaging and analyze the shape transformations of the droplets on the timescale of milliseconds. Our studies reveal the scaling laws of the coalescence time, which exhibits a different dependence on the droplet geometry from that in the case of droplets on a solid substrate. A theoretical model is proposed to explain the difference in behavior.

show abstract

Coalescence of viscous two-dimensional smectic islands

Cited by 27 publications

References 23 publications

On droplets coalescence in a quasi-2D fluid

On droplets coalescence in a quasi-2D fluid

Phase-field model for a weakly compressible soft layered material: morphological transitions on smectic-isotropic interfaces

On Droplet Coalescence in Quasi-Two-Dimensional Fluids

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