Interface morphologies in liquid/liquid dewetting

Kostourou, Konstantina; Peschka, Dirk; Münch, Andreas; Wagner, Barbara; Herminghaus, Stephan; Seemann, Ralf

doi:10.1016/j.cep.2010.10.006

Cited by 13 publications

(11 citation statements)

References 32 publications

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“…Interestingly, direct quantitative comparisons of theoretical with experimental results, in particular on micro-and nano-scale, regarding for example the morphology of the interfaces, as performed in Kostourou et al [18], or equilibrium values of the Neumann triangle, as discussed in [7], still leave many issues in need to be explained, such as the dependency of the morphology of the interfaces on the rheology of the liquids, their layer thicknesses or material parameters. On the other side, even for the simplest mathematical models of Newtonian two-layer liquid systems, mathematical theory is still largely open and this is the main focus of the present study.…”

mentioning

confidence: 99%

Stationary Solutions of Liquid Two-Layer Thin-Film Models

Jachalski¹,

Huth²,

Kitavtsev³

et al. 2013

SIAM J. Appl. Math.

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Abstract. We investigate stationary solutions of a thin-film model for liquid two-layer flows in an energetic formulation that is motivated by its gradient flow structure. The goal is to achieve a rigorous understanding of the contact-angle conditions for such two-layer systems. We pursue this by investigating a corresponding energy that favors the upper liquid to dewet from the lower liquid substrate, leaving behind a layer of thickness h * . After proving existence of stationary solutions for the resulting system of thin-film equations we focus on the limit h * → 0 via matched asymptotic analysis. This yields a corresponding sharp-interface model and a matched asymptotic solution that includes logarithmic switch-back terms. We compare this with results obtained using Γ-convergence, where we establish existence and uniqueness of energetic minimizers in that limit.

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confidence: 99%

Stationary Solutions of Liquid Two-Layer Thin-Film Models

Jachalski¹,

Huth²,

Kitavtsev³

et al. 2013

SIAM J. Appl. Math.

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“…The critical factor determining whether the nanowire bends or not, as seen when comparing the situations in Figures 1(a) or 1(b)-1(d), is the length of the nanowire. We can estimate a critical length, L C ∼ (E * d/γ) 1/3 r ∼ 4 um, for 500 nm nanowire separation, 40 nm radius, and PMMA-air surface tension γ = 33 mN/m [13]. Nanowires longer than the critical length will bend, while those shorter will remain upright.…”

Section: Resultsmentioning

confidence: 99%

Toward 3D Integration of 1D Conductors: Junctions of InAs Nanowires

Samuelson

Linke

2011

Journal of Nanomaterials

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A vision and one of the next challenges in nanoelectronics is the 3D integration of nanowire building blocks. Here we show that capillary forces associated with a liquid-air meniscus between two nanowires provides a simple, controllable technique to bend vertical nanowires into designed, interconnected assemblies. We characterize the electric nature of the junctions between crossed nanowires in a lateral geometry, which is one type of basic unit that can be found in interconnected-bent vertical nanowires. The crossed nanowire junction is capacitive in nature, and we demonstrate that one nanowire can be used to field effect gate the other nanowire, allowing for the possibility to develop extremely narrow conducting channels in nanowire planar or 3D electronic devices.

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“…In contrast to that of a single-layer film, dewetting of a thin polymer bilayer is far more complex, as the morphological evolution of a bilayer involves coupled deformation of multiple confined interfaces. − Depending on the strength of the destabilizing force in each layer, either layer can become preferentially unstable and lead to completely distinct evolution pathways. , In case the bottom layer becomes unstable first, the film evolves following the in-phase or the bending mode of instability. In contrast, preferential instability of the top layer leads to an out-of-phase or squeezing mode of instability .…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, preferential instability of the top layer leads to an out-of-phase or squeezing mode of instability . Various aspects related to dewetting of a polymer bilayer, including the effect of the thickness, molecular weight, and viscosity of the individual layers, have been extensively investigated along with unique observations such as rim penetration, feature size minimization, formation of noncircular facetted holes due to interfacial slippage, and so on. − The instability features resulting from dewetting of polymer bilayers have been successfully aligned by dewetting the film on a topographically patterned substrate, resulting in various types of exotic ordered features such as alternating droplet arrays, embedded droplets with core–shell morphology, submerged droplets, undulating threads, and so on …”

Section: Introductionmentioning

confidence: 99%

Ordering in Dewetting of a Thin Polymer Bilayer with a Topographically Patterned Interface

Bhandaru

Mukherjee

2021

Macromolecules

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We report that dewetting of a thin polymer bilayer consisting of a stacked polystyrene (PS) film on top of a topographically patterned poly(methyl methacrylate) (PMMA) bottom layer on a nonwettable substrate results in a myriad of partially or fully ordered patterns. The local thicknesses of the thinnest parts of both the layers, that is, the residual layer thickness of the PMMA film after patterning (h R-PMMA ) and the local thickness of the PS film over the PMMA stripes (h T-PS ), collectively influence the evolution pathway and the extent of the ordering of the final dewetted features. In case both h R-PMMA and h T-PS are very low (≤9 nm), the films undergo near-simultaneous rupture over their respective thinnest areas, resulting in a morphology consisting of an array of ordered PS droplets surrounded by a holey PMMA matrix. In contrast, slightly thicker h T-PS (≈12 nm) leads to sequential rupture of the PMMA and the PS films over the substrate grooves, resulting in an array of core (PMMA)−shell (PS) threads. While the top layer flattens out along with the suppression of instability with a further increase in h T-PS (≈22 nm), the bottom PMMA layer still undergoes submerged directed dewetting. On the other hand, a slight increase in h R-PMMA ≥ 13 nm suppresses pattern-directed rupture of the bottom layer due to surface-tension-mediated flattening. Even on such a thicker bottom layer, an ordered array of aligned PS droplets exhibiting a Neumann configuration is obtained when h T-PS ≈ 9 nm. With a further increase in h T-PS , the ordering is completely lost in both layers. The nonwettability of the substrate hinders late-stage lateral coarsening of the dewetting features, facilitating the formation of ordered meso patterns by dewetting of a thin polymer bilayer with a topographically patterned interface. Finally, we also explore how various parameters such as the height of the PMMA stripes (h S-PMMA ), periodicity of the patterns (λ S ), and viscosity of the two layers influence the final dewetted features.

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Interface morphologies in liquid/liquid dewetting

Cited by 13 publications

References 32 publications

Stationary Solutions of Liquid Two-Layer Thin-Film Models

Stationary Solutions of Liquid Two-Layer Thin-Film Models

Toward 3D Integration of 1D Conductors: Junctions of InAs Nanowires

Ordering in Dewetting of a Thin Polymer Bilayer with a Topographically Patterned Interface

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