Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films

DOI10.1007/s10665-016-9874-6zbMath1369.74042arXiv1603.04675OpenAlexW2296805599MaRDI QIDQ2400421

Mikhail Khenner

Publication date: 1 September 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04675

zbMATH Keywords

stability analysisdewettingPDE modelultra-thin metal films

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Stability of dynamical problems in solid mechanics (74H55) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• Mathematica

Cites Work

• From Bell shapes to pyramids: a reduced continuum model for self-assembled quantum dot growth
• Surface stress in solids
• A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
• Anisotropic surface energy formulations and their effect on stability of a growing thin film
• Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay
• A Regularized Equation for Anisotropic Motion-by-Curvature
• Some Theorems on the Free Energies of Crystal Surfaces
• Unnamed Item