Erratum: Coalescence of viscous two-dimensional smectic islands [Phys. Rev. E 
<b>99</b>
, 062702 (2019)]

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

doi:10.1103/physreve.100.019901

Cited by 9 publications

(21 citation statements)

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“…Even though this system is at first glance related to the coalescing smectic islands studied by Shuravin et al 26 and Nguyen et al 39,40 , there is a fundamental difference between both phenomena: The islands are two-dimensional flat disks of constant height whose coalescence is driven by the line tension of the dislocations surrounding them.The island material is in the same mesophase as the surrounding film. The smectic island coalescence was found to behave very similar to the predictions by Hopper for infinitely long coalescing parallel cylinders.…”

Section: Introductionmentioning

confidence: 99%

“…A model that analytically describes the coalescence of infinitely extended coaxial cylinders has been developed by . This model has been applied, with qualitative but no quantitative agreement, to describe the merging of so-called islands, flat circular disks of surplus material, in the plane of freely suspended smectic liquid-crystal films 26,39,40 : A similar geometry is that of flat nematic islands floating on an immiscible liquid 27,28 . In that case, the flow of the nematic material during coalescence is coupled to flow of the substrate liquid, and the authors observe a transition from an initial dynamics driven by surface dissipation to a later stage with volume dissipation, which changes the exponent of the observed scaling laws.…”

Section: Introductionmentioning

confidence: 99%

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Self similarity of liquid droplet coalescence in a quasi-2D free-standing liquid-crystal film

2020

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Coalescence of droplets is an ubiquitous phenomenon in chemical, physical and biological systems. The process of merging of liquid objects has been studied during the past years experimentally and theoretically in different geometries. We introduce a unique system that allows a quasi two-dimensional description of the coalescence process, micrometer-sized flat droplets in freely suspended smectic liquid-crystal films. We find that the bridge connecting the droplets grows linearly in time during the initial stage of coalescence, both with respect to its height and lateral width. We also verify self-similar dynamics of the bridge during the first stage of coalescence. We compare our results with a model based on the thin sheet equations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self similarity of liquid droplet coalescence in a quasi-2D free-standing liquid-crystal film

2020

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“…From Eqs. (35) and (46) it follows that under the condition |T | ≪ T cl with growing |T | the relative front width in the plane X = 0, where radius of the isthmus is minimal, contracts by the law…”

Section: Quasi-2d and 3d Systems At T < T CLmentioning

confidence: 99%

“…Quasi-2D and 3D systems at T < T f r According to Eqs. (35), in the domain T = (T f r − T )/T f r ≪ 1 − χ M , as the excess of A-particles in the system center decreases, the half-width (radius) of the isthmus in the X = 0 plane contracts by the law (46), whence it follows that with growing T the relative front width increases by the law (78) where the characteristic time of front delocalization and the corresponding characteristic half-width (radius) of the isthmus are determined by Eqs.…”

Section: Quasi-2d and 3d Systems At T < T CLmentioning

confidence: 99%

Diffusion-controlled coalescence, fragmentation, and collapse of d -dimensional A -particle islands in the B -particle sea

Shipilevsky¹

2019

Phys. Rev. E

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We present a systematic analysis of diffusion-controlled evolution and collapse of two identical spatially separated d-dimensional A-particle islands in the B-particle sea at propagation of the sharp reaction front A + B → 0 at equal species diffusivities. We show that at a sufficiently large initial distance between the centers of islands 2ℓ compared to their characteristic initial size and a relatively large initial ratio of concentrations island/sea the evolution dynamics of the island-seaisland system is determined unambiguously by the dimensionless parameter Λ = N0/NΩ, where N0 is the initial particle number in the island and NΩ is the initial number of sea particles in the volume Ω = (2ℓ) d . It is established that a) there is a d-dependent critical value Λ⋆ above which island coalescence occurs; b) regardless of d the centers of each of the islands move towards each other along a universal trajectory merging in a united center at the d-dependent critical value Λs ≥ Λ⋆; c) in one-dimensional systems Λ⋆ = Λs, therefore at Λ < Λ⋆ each of the islands dies individually, whereas at Λ > Λ⋆ coalescence is completed by collapse of a single-centered island in the system center; d) in two-and three-dimensional systems in the range Λ⋆ < Λ < Λs coalescence is accompanied by subsequent fragmentation of a two-centered island and is completed by individual collapse of each of the islands. We discuss a detailed picture of coalescence, fragmentation and collapse of islands focusing on evolution of their shape and on behavior of the relative width of the reaction front at the final collapse stage and in the vicinity of starting coalescence and fragmentation points. We demonstrate that in a wide range of parameters the front remains sharp up to a narrow vicinity of the coalescence, fragmentation and collapse points. PACS numbers: 05.70.Ln, 82.20.-w R = Jδ(x − x f ).

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“…The study of droplet transformation driven by surface tension is a classical direction in fluid physics. Cardinal transformations occur at coalescence of three-dimensional (3D) [1][2][3][4][5] or 2D [6][7][8][9][10][11][12] droplets or inversely when satellite droplets are formed from a jet or a bigger stretched droplet [13][14][15][16][17][18][19]. Coalescence and breakup belong to the class of free surface problems.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of capillary coalescence and breakup: Quasi-two-dimensional nematic and isotropic droplets

et al. 2021

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For the first time we observed Rayleigh-Plateau instability with formation of satellite domains at droplet coalescence. Investigations were made using a Hele-Shaw cell in the twophase region at nematic-isotropic phase transition. In previous works on quasi-2D coalescence it was considered that before start of coalescence there exists a bridge between the outer fluid connecting regions on the two sides of the droplets (outer bridge). After start of coalescence a bridge connecting the two droplets appears (droplet bridge) and the outer bridge is broken. For the first time we have shown that there are coalescence processes when after start of coalescence the outer bridge continues to exist. This cardinally changes the coalescence process. During the first coalescence stage the size of the outer bridge decreases, the size of the droplet bridge increases. During the second stage the outer bridge becomes unstable with pinch-off, formation of pointed end domains, secondary instability, splitting of pointed end domains and formation of satellite domains. Our work connects two directions of fluid dynamics: coalescence and breakup related with Rayleigh-Plateau instability.

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Erratum: Coalescence of viscous two-dimensional smectic islands [Phys. Rev. E 99 , 062702 (2019)]

Abstract: Erratum: Coalescence of viscous two-dimensional smectic islands [Phys. Rev. E 99, 062702 (2019)]

Cited by 9 publications

References 0 publications

Self similarity of liquid droplet coalescence in a quasi-2D free-standing liquid-crystal film

Self similarity of liquid droplet coalescence in a quasi-2D free-standing liquid-crystal film

Diffusion-controlled coalescence, fragmentation, and collapse of d -dimensional A -particle islands in the B -particle sea

Dynamics of capillary coalescence and breakup: Quasi-two-dimensional nematic and isotropic droplets

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