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Related papers: Templeting of Thin Films Induced by Dewetting on P…

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A variational model for epitaxially-strained thin films on rigid substrates is derived both by {\Gamma}-convergence from a transition-layer setting, and by relaxation from a sharp-interface description available in the literature for…

Analysis of PDEs · Mathematics 2018-09-20 Elisa Davoli , Paolo Piovano

An evolution partial differential equation for the surface of a non-wetting single-crystal film in an attractive substrate potential is derived and used to study the dynamics of a pinhole for the varying initial depth of a pinhole and the…

Materials Science · Physics 2009-11-13 M. Khenner

Ultrathin polymer films that are produced e.g. by spin-coating are believed to be stressed since polymers are 'frozen in' into out-of-equilibrium configurations during this process. In the framework of a viscoelastic thin film model, we…

Soft Condensed Matter · Physics 2011-03-01 Falko Ziebert , Elie Raphael

We have studied the breakup and subsequent fluid flow in very thin films of partially wetting liquid on solid substrates, using molecular dynamics simulations. The liquid is made of short chain molecules interacting with Lennard-Jones…

Soft Condensed Matter · Physics 2009-10-31 Joel Koplik , Jayanth R. Banavar

We report molecular dynamics simulation results on the equilibrium properties of polymer thin films adsorbed onto flat and curved substrates. We first systematically determine the contact angle of polymer droplets on flat substrates as a…

Soft Condensed Matter · Physics 2023-12-15 Gabriel Catalini , Nicolás A. García , Daniel A. Vega , Arash Nikoubashman

We consider patterns formed in a two-dimensional thin film on a planar substrate with a Derjaguin disjoining pressure and periodic wettability stripes. We rigorously clarify some of the results obtained numerically by Honisch et al. and…

Pattern Formation and Solitons · Physics 2022-09-07 A. S. Alshaikhi , M. Grinfeld , S. K. Wilson

We propose a physical model which explains the existence of finite thickness wetting layers in epitaxially strained films. The finite wetting layer is shown to be stable due to the variation of the non-linear elastic free energy with film…

Materials Science · Physics 2009-10-31 Helen R. Eisenberg , Daniel kandel

We study dewetting of thin polymer films with built-in topographical fluctuations produced by rubbing the film surface with a rayon cloth. By varying the density of imposed surface defects, we unambiguously distinguish spinodal dewetting,…

Soft Condensed Matter · Physics 2007-05-23 B. Du , Z. Yang , O. K. C. Tsui

We study theoretically the formation of long-wavelength instability patterns observed at spreading of nematic droplets on liquid substrates. The role of surface-like elastic terms such as saddle-splay and anchoring in nematic films of…

Soft Condensed Matter · Physics 2013-03-04 O. V. Manyuhina , M. Ben Amar

A strained epitaxial film deposited on a deformable substrate undergoes a morphological instability relaxing the elastic energy by surface diffusion. The nonlinear and nonlocal dynamical equations of such films with wetting interactions are…

Statistical Mechanics · Physics 2011-11-16 Jean-Noel Aqua , Thomas Frisch , Alberto Verga

A mathematical model is developed to analyze the growth/decay rate of surface perturbations of an ultrathin metal film on an amorphous substrate (SiO_{2}). The formulation combines the approach of Mullins [J. Appl. Phys. v30, 77, 1959] for…

Materials Science · Physics 2015-06-25 Christopher Favazza , Ramki Kalyanaraman , Radhakrishna Sureshkumar

This paper is motivated by the complex blister patterns sometimes seen in thin elastic films on thick, compliant substrates. These patterns are often induced by an elastic misfit which compresses the film. Blistering permits the film to…

Analysis of PDEs · Mathematics 2013-04-02 Jacob Bedrossian , Robert V. Kohn

I study numerically the problem of delamination of a thin film elastically attached to a rigid substrate. A nominally flat elastic thin film is modeled using a two-dimensional triangular mesh. Both compression and bending rigidities are…

Materials Science · Physics 2009-11-11 E. A. Jagla

Thin liquid films on surfaces are part of our everyday life, they serve e.g. as coatings or lubricants. The stability of a thin layer is governed by interfacial forces, described by the effective interface potential, and has been subject of…

Soft Condensed Matter · Physics 2015-06-04 Oliver Bäumchen , Renate Fetzer , Mischa Klos , Matthias Lessel , Ludovic Marquant , Hendrik Hähl , Karin Jacobs

A PDE-based model combining surface electromigration and wetting is developed for the analysis of morphological stability of ultrathin solid films. Adatom mobility is assumed anisotropic, and two directions of the electric field (parallel…

Materials Science · Physics 2015-06-12 Mikhail Khenner

We consider two stacked ultra-thin layers of different liquids on a solid substrate. Using long-wave theory, we derive coupled evolution equations for the free liquid-liquid and liquid-gas interfaces. Linear and non-linear analyses show…

Pattern Formation and Solitons · Physics 2009-11-10 Andrey Pototsky , Michael Bestehorn , Uwe Thiele , Domnic Merkt

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

Ultrathin polymer films on non-wettable substrates display dynamic features which have been attributed to either viscoelastic or slip effects. Here we show that in the weak and strong slip regime effects of viscoelastic relaxation are…

Soft Condensed Matter · Physics 2009-11-11 Ralf Blossey , Andreas Muench , Markus Rauscher , Barbara Wagner

We consider the dynamics of a thin liquid film in the attractive substrate potential and under the action of a longitudinal or a tilted vibration. Using a multiscale technique we split the film motion into the oscillatory and the averaged…

Fluid Dynamics · Physics 2015-05-13 S. Shklyaev , A. A. Alabuzhev , M. Khenner

Dewetting of ultrathin (< 100 nm) polymer films, by heating above the glass transition, produces droplets of sizes of the order of microns and mean separations between droplets of the order of tens of microns. These relatively large length…

Soft Condensed Matter · Physics 2011-06-06 Ankur Verma , Ashutosh Sharma