English

A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure

Numerical Analysis 2025-03-06 v2 Numerical Analysis

Abstract

We develop a sharp-interface model for solid-state dewetting of double-bubble thin films using an energy variational approach based on a newly proposed interfacial energy. This model characterizes the dynamic evolution of interfaces in double-bubble thin films, a process primarily governed by surface diffusion and junction/contact points migration, and fundamentally distinct from the behavior observed in a single thin film. Subsequently, a structure-preserving parametric finite element approximation is developed for the sharp-interface model, which can preserve both area conservation and energy stability. Extensive numerical experiments are presented to demonstrate the convergence, structure-preserving properties, and superior mesh quality of the proposed method. Additionally, we investigate several specific evolution processes, including the equilibrium shapes of double-bubble thin films and the pinch-off dynamics of long islands.

Keywords

Cite

@article{arxiv.2503.00934,
  title  = {A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure},
  author = {Meng Li and Nan Wang and Ruofan Zhao and Chunjie Zhou},
  journal= {arXiv preprint arXiv:2503.00934},
  year   = {2025}
}
R2 v1 2026-06-28T22:03:43.193Z