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Related papers: Power-law scaling for solid-state dewetting of thi…

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In this paper, we consider the capillarity-driven evolution of a solid toroidal island on a flat rigid substrate, where mass transport is controlled by surface diffusion. This problem is representative of the geometrical complexity…

Soft Condensed Matter · Physics 2018-10-08 Wei Jiang , Quan Zhao , Tiezheng Qian , David J Srolovitz , Weizhu Bao

We study the dynamics of a small solid particle arising from the dewetting of a thin film on a curved substrate driven by capillarity, where mass transport is controlled by surface diffusion. We consider the case when the size of the…

Materials Science · Physics 2024-09-06 Quan Zhao , Wei Jiang , Yan Wang , David J. Srolovitz , Tiezheng Qian , Weizhu Bao

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

By using the Onsager variational principle as an approximation tool, we develop a new diffusion generated motion method for wetting problems. The method uses a signed distance function to represent the interface between the liquid and vapor…

Numerical Analysis · Mathematics 2021-07-07 Song Lu , Xianmin Xu

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

Based on the thermodynamic variation to the free energy functional, we propose a sharp-interface model for simulating solid-state dewetting of thin films on rigid curved substrates in two dimensions. This model describes the interface…

Materials Science · Physics 2018-11-14 Wei Jiang , Yan Wang , David J. Srolovitz , Weizhu Bao

A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The…

Fluid Dynamics · Physics 2020-12-02 Xianmin Xu , Xiaoping Wang

We propose a sharp interface model for simulating solid-state dewetting where the surface energy is (weakly) anisotropic. The morphology evolution of thin films is governed by surface diffusion and contact line migration. The mathematical…

Materials Science · Physics 2015-06-22 Yan Wang , Wei Jiang , Weizhu Bao , Dave J. Srolovitz

Solid-state dewetting is the process by which thin solid films break up and retract on a substrate, forming nanostructures. While dewetting of single-crystalline films is understood as a surface-energy-driven process mediated by surface…

Materials Science · Physics 2026-02-25 Paul Hoffrogge , Nils Becker , Daniel Schneider , Britta Nestler , Axel Voigt , Marco Salvalaglio

When a solid plate is withdrawn from a partially wetting liquid, a liquid layer dewets the moving substrate. High-speed imaging reveals alternating thin and thick regions in the entrained layer in the transverse direction at steady state.…

Fluid Dynamics · Physics 2020-11-18 Mengfei He

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

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

The problem of simulating solid-state dewetting of thin films in three dimensions (3D) by using a sharp-interface approach is considered in this paper. Based on the thermodynamic variation, a speed method is used for calculating the first…

Soft Condensed Matter · Physics 2020-03-03 Wei Jiang , Quan Zhao , Weizhu Bao

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 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

Liquid droplets on soft solids, such as soft polymeric gels, can induce substantial surface deformations, leading to the formation of wetting ridges at contact points. While these contact ridges have been shown to govern the rich surface…

Soft Condensed Matter · Physics 2024-08-27 Wenjie Qian , Weiwei Zhao , Tiezheng Qian , Qin Xu

Solid-state dewetting phenomenon in silver thin films offers a straightforward method to obtain structures having controlled shape or size -this latter in principle spanning several orders of magnitudes -- with potentially strong interest…

Materials Science · Physics 2020-07-10 M. Berni , I. Carrano , A. Kovtun , A. Russo , A. Visani , C. Dionigi , A. Liscio , F. Valle , A. Gambardella

Dewetting of ultra-thin polymer films near the glass transition exhibits unexpected front morphologies [G. Reiter, Phys. Rev. Lett., 87, 186101 (2001)]. We present here the first theoretical attempt to understand these features, focusing on…

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

We report a molecularly-augmented continuum-based computational model of dynamic wetting and apply it to the displacement of an externally-driven liquid plug between two partially-wetted parallel plates. The results closely follow those…

Fluid Dynamics · Physics 2022-12-21 Jack S. Keeler , Terence D. Blake , Duncan A. Lockerby , James E. Sprittles

We study the impact and subsequent retraction dynamics of liquid droplets upon high-speed impact on hydrophobic surfaces. Performing extensive experiments, we show that the drop retraction rate is a material constant and does not depend on…

Fluid Dynamics · Physics 2009-11-11 Denis Bartolo , Christophe Josserand , Daniel Bonn
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