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Related papers: Comparative study of a solid film dewetting in an …

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We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

Numerical Analysis · Mathematics 2026-04-29 Weijie Huang , Xinran Ruan

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

In this paper we present a theoretical model for the dewetting of ultra-thin polymer films. Assumming that the shear-thinning properties of these films can be described by a Cross-type constitutive equation, we analyze the front morphology…

Soft Condensed Matter · Physics 2009-11-07 F. Saulnier , E. Raphael , P. -G. de Gennes

We study a class of fourth-order quasilinear degenerate parabolic equations under both time-and space-dependent and time-and space-independent forces, modeling non-Newtonian thin-film flow over a solid surface in the "complete wetting"…

Analysis of PDEs · Mathematics 2026-01-06 Jinhong Zhao , Bin Guo

The instability, dynamics and morphological transitions of patterns in thin liquid films on periodic striped surfaces (consisting of alternating less and more wettable stripes) are investigated based on 3-D nonlinear simulations that…

Soft Condensed Matter · Physics 2009-11-07 K. Kargupta , A. Sharma

Dewetting of a binary alloy thin film is studied using a continuum many-parameter model that accounts for the surface and bulk diffusion, the bulk phase separation, the surface segregation and the particles formation. Analytical solution is…

Materials Science · Physics 2018-01-19 Mikhail Khenner

The dewetting dynamics of an ultrathin film is studied in the presence of evaporation - or reaction - of adatoms on the substrate. KMC simulations are in good agreement with an analytical model with diffusion, rim facetting, and substrate…

Materials Science · Physics 2015-06-03 A. Chame , O. Pierre-Louis

In the present contribution we review basic mathematical results for three physical systems involving self-organising solid or liquid films at solid surfaces. The films may undergo a structuring process by dewetting,…

Other Condensed Matter · Physics 2010-10-15 Uwe Thiele

Liquid films of nanometric thickness are prone to spinodal dewetting driven by disjoining pressure, meaning that a non-wetting liquid film of homogeneous thickness in the range of tens of nanometers will spontaneously break into droplets.…

Fluid Dynamics · Physics 2025-04-11 Tilman Richter , Paolo Malgaretti , Jens Harting

Thin liquid films exhibit rich instability and rupture dynamics that critically impact coating performance across many applications. In this work, we use the lattice Boltzmann method (LBM) simulations within a lubrication-theory framework…

Materials Science · Physics 2026-05-01 Karim Gadelrab , Stefan Reimann-Zitz

This work is devoted so show the appearance of different cracking modes in linearly elastic thin film systems by means of an asymptotic analysis as the thickness tends to zero. By superposing two thin plates, and upon suitable scaling law…

Analysis of PDEs · Mathematics 2015-09-14 Jean-Francois Babadjian , Duvan Henao

When a liquid film lies on a non-wettable substrate, the configuration is unstable and the film then retracts from a solid substrate to form droplets. This phenomenon, known as dewetting, commonly leads to undesirable morphological changes.…

We consider the dynamic wetting and dewetting processes of films and droplets of complex liquids on planar surfaces, focusing on the case of colloidal suspensions, where the particle interactions can be sufficiently attractive to cause…

Fluid Dynamics · Physics 2024-11-20 J. Zhang , D. N. Sibley , D. Tseluiko , A. J. Archer

A lattice model is used to study repulsive active particles at a planar surface. A rejection-free Kinetic Monte Carlo method is employed to characterize the wetting behaviour. The model predicts a mobility induced phase separation of active…

Soft Condensed Matter · Physics 2020-11-12 Pedro Neta , Mykola Tasinkevych , Margarida Telo da Gama , Cristóvão Dias

The surface evolution model based on geometric partial differential equation is used to numerically study the kinetics of dewetting and dynamic morphologies for the localized pinhole defect in the surface of the ultrathin solid film with…

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

The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Mikhail Khenner , Wondimu T. Tekalign , Margo S. Levine

This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz in \cite{jiang2016solid}. Using the $H^{-1}$-gradient flow…

Analysis of PDEs · Mathematics 2024-12-16 Gianni Dal Maso , Irene Fonseca , Giovanni Leoni

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

Soft Condensed Matter · Physics 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

We study the instability of a thin film composed of two miscible fluids (binary fluid) placed on a solid planar surface. We include the fact that both the free surface and wetting energies depend on the mixture concentration. By assuming a…

Fluid Dynamics · Physics 2023-07-11 Javier A. Diez , Alejandro G. González , Lou Kondic

We examine the profile of a liquid front of a film that is dewetting a solid substrate. Since volume is conserved, the material that once covered the substrate is accumulated in a rim close to the three phase contact line. Theoretically,…

Soft Condensed Matter · Physics 2009-11-07 Ralf Seemann , Stephan Herminghaus , Karin Jacobs
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