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Related papers: Dewetting of an ultrathin solid film on a lattice-…

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We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface and substrate surface are represented by an evolving and a…

Numerical Analysis · Mathematics 2024-10-02 Weizhu Bao , Yifei Li , Quan Zhao

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 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

The thickness evolution of in-plane magnetization reversal in ultrathin films is studied with a theoretical model that takes account of surface roughness typical of epitaxial growth. Guided by N\'{e}el's model, step edge sites of…

Materials Science · Physics 2007-05-23 R. A. Hyman , A. Zangwill , M. D. Stiles

Theory and numerical simulations of the Navier-Stokes equations are used to unravel the inertia-driven dewetting dynamics of an ultrathin film of Newtonian liquid deposited on a solid substrate. A classification of the film thinning regimes…

Fluid Dynamics · Physics 2020-05-12 D. Moreno-Boza , A. Martínez-Calvo , A. Sevilla

Rupture is a nonlinear instability resulting in a finite-time singularity as a fluid layer approaches zero thickness at a point. We study the dynamics of rupture in a generalized mathematical model of thin films of viscous fluids with…

Mathematical Physics · Physics 2017-01-05 Hangjie Ji , Thomas Witelski

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

Fiber-reinforcement is a universal feature of many biological tissues. It involves the interplay between fiber stiffness, fiber orientation, and the elastic properties of the matrix, influencing pattern formation and evolution in layered…

Soft Condensed Matter · Physics 2025-04-29 Yang Liu , Rui-Cheng Liu , Wanyu Ma , Alain Goriely

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…

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

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

As a first step towards a microscopic understanding of the effective interaction between colloidal particles suspended in a solvent we study the wetting behavior of one-component fluids at spheres and fibers. We describe these phenomena…

Condensed Matter · Physics 2015-06-25 T. Bieker , S. Dietrich

Solid-state dewetting (SSD), a widespread phenomenon in solid-solid-vapor system, could be used to describe the accumulation of solid thin films on the substrate. In this work, we consider the sharp interface model for axisymmetric SSD with…

Numerical Analysis · Mathematics 2024-05-28 Meng Li , Chunjie Zhou

Thin-film dewetting is classically governed by an adhesion-mediated spinodal instability in which curvature-driven diffusion controls post-rupture coarsening. We show that internal activity fundamentally restructures this instability. Using…

Soft Condensed Matter · Physics 2026-03-02 Preethi M , Daniya Davis , Bhaskar Sen Gupta

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

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 propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The model describes the motion of the film\slash vapor interface…

Numerical Analysis · Mathematics 2023-07-04 Weizhu Bao , Quan Zhao

Surface energy is fundamental in controlling surface properties and surface-driven processes like heterogeneous catalysis, as adsorption energy is. It is thus crucial to establish an effective scheme to determine surface energy and its…

Materials Science · Physics 2020-09-22 Bo Li , Xin Li , Wang Gao , Qing Jiang

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

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

Numerical Analysis · Mathematics 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao