Dynamics of nanoscale pattern formation of an epitaxial monolayer

DOI10.1016/S0022-5096(01)00023-0zbMath0998.74006OpenAlexW2051677038WikidataQ126459543 ScholiaQ126459543MaRDI QIDQ5953048

Wei Lu, Zhigang Suo

Publication date: 26 November 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(01)00023-0

zbMATH Keywords

phase field modelpattern formationnonlinear diffusion equationconcentration-dependent surface stresselastic substrateepitaxial monolayernonstructureself-assemblysuperlatticestwo-phase monolayer

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Micromechanical theories (74A60)

Related Items

Pattern formation on a stretchable substrate ⋮ Stability and shape evolution of voids and channels due to surface misfit ⋮ Multi-scale solid oxide fuel cell materials modeling ⋮ Spontaneous instability of soft thin films on curved substrates due to van der Waals interaction ⋮ Adatoms and their relation to surface stress. ⋮ A continuum model on the nanomesa and nanowell formation in Langmuir-Blodgett ferroelectric polymeric films ⋮ An iterative-perturbation scheme for treating inhomogeneous elasticity in phase-field models ⋮ Surface evolution of elastically stressed films under deposition by a diffuse interface model ⋮ Epitaxy of binary compounds and alloys ⋮ Buckling and postbuckling of a compressed thin film bonded on a soft elastic layer: a three-dimensional analysis ⋮ Pattern formation and geometry of the manifold ⋮ The orientation of the self-assembled monolayer stripes on a crystalline substrate. ⋮ Creep flow, diffusion, and electromigration in small scale interconnects ⋮ Instabilities of core-shell heterostructured cylinders due to diffusions and epitaxy: Spheroidization and blossom of nanowires ⋮ Sequential rearrangement of information in formation of patterns ⋮ On stability of self-assembled nanoscale patterns

Cites Work

• Applications of semi-implicit Fourier-spectral method to phase field equations
• Multiscale deformation and fracture in materials and structures: The James R. Rice 60th anniversary volume.
• Composition modulation and nanophase separation in a binary epilayer
• Contact Mechanics
• Free Energy of a Nonuniform System. I. Interfacial Free Energy