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Related papers: Alternative pathways of dewetting for a thin two-l…

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We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

The stability of thin liquid coatings is of fundamental interest in every- day life. Homogeneous and non-volatile liquid coatings may dewet either by heterogeneous nucleation, thermal nucleation, or spinodal dewetting. Wetting and dewetting…

Soft Condensed Matter · Physics 2008-05-29 Karin Jacobs , Ralf Seemann , Stephan Herminghaus

We consider two thin layers of immiscible liquids on a heated solid horizontal substrate. The free liquid-liquid and liquid-gas interfaces of such a two-layer (or bilayer) liquid film may be unstable due to effective molecular interactions…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey Pototsky , Michael Bestehorn , Domnic Merkt , Uwe Thiele

We consider two-layers of immiscible liquids confined between an upper and a lower rigid plate. The dynamics of the free liquid-liquid interface is described for arbitrary amplitudes by a single evolution equation derived from the basic…

Pattern Formation and Solitons · Physics 2007-05-23 D. Merkt , A. Pototsky , M. Bestehorn , U. Thiele

In this work, we show the short-time existence of solutions of the evolution equations that represent the solid state dewetting of thin films through evaporation-condensation as a two dimensional sharp interface variational model. The…

Analysis of PDEs · Mathematics 2025-08-12 M. S. Indulekha

Thin film growth is investigated in two types of lattice gas models where substrate and film particles are different, expressed by unequal interaction energy parameters. The first is of solid-on-solid type, whereas the second type…

Soft Condensed Matter · Physics 2021-02-17 Eelco Empting , Miriam Klopotek , Alexander Hinderhofer , Frank Schreiber , Martin Oettel

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

In this Letter we investigate the rupture instability of thin liquid films by means of a bifurcation analysis in the vicinity of the short-scale instability threshold. The rupture time estimate obtained in closed form as a function of the…

Fluid Dynamics · Physics 2009-11-10 A. M. Leshansky , B. Y. Rubinstein

The van der Waals forces across a very thin liquid layer (nanofilm) in contact with a plane solid wall make the liquid nonhomogeneous. The dynamics of such flat liquid nanofilms is studied in isothermal case. The Navier-Stokes equations are…

Classical Physics · Physics 2008-09-23 Henri Gouin , Sergey Gavrilyuk

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 consider the evaporation of a thin liquid layer which consists of a binary mixture of volatile liquids. The mixture is on top of a heated substrate and in contact with the gas phase that consists of the same vapour as the binary mixture.…

Fluid Dynamics · Physics 2020-11-04 R. K. Nazareth , G. Karapetsas , K. Sefiane , O. Matar , P. Valluri

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

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 study the deformation and dewetting of liquid films under impinging gas jets using experimental, analytical and numerical techniques. We first derive a reduced-order model (a thin-film equation) based on the long-wave assumption and on…

Fluid Dynamics · Physics 2020-12-02 C. J. Ojiako , R. Cimpeanu , H. Bandulasena , R. Smith , D. Tseluiko

The influence of wall slip on the instability of a non-wetting liquid film placed on a solid substrate is analyzed in the limit of negligible inertia. In particular, we focus on the stability properties of the film, comparing the…

Fluid Dynamics · Physics 2020-10-16 A. Martínez-Calvo , D. Moreno-Boza , A. Sevilla

Thin films and van der Waals heterostructures derived from two-dimensional solids offer enormous potential for a broad range of novel, energy efficient devices, however, their use is currently hampered by slow, labor-intensive fabrication…

The objective of this work is to study the role of shear on the rupture of ultrathin polymer films. To do so, a finite-difference numerical scheme for the resolution of the thin film equation was set up taking into account capillary and van…

We report a theoretical and numerical investigation of the linear and nonlinear dynamics of a thin liquid film of viscosity $\mu$ sandwiched between a solid substrate and an unbounded liquid bath of viscosity $\lambda \mu$. In the limit of…

Fluid Dynamics · Physics 2023-11-27 A. Martinez-Calvo , D. Moreno-Boza , J. F. Guil-Pedrosa , A. Sevilla

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
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