Coarsening of step bunches in step flow growth: a reaction-diffusion model and its travelling wave solutions

DOI10.1016/j.physd.2003.10.009zbMath1050.80002OpenAlexW1983881489MaRDI QIDQ1885887

Cameron R. Connell

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.10.009

zbMATH Keywords

Reaction-diffusion equationBCF modelStep flow growth

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Statistical mechanics of crystals (82D25) Chemical kinetics in thermodynamics and heat transfer (80A30)

Cites Work

• Unnamed Item
• Partial differential equations. 4th ed
• Chaotic step bunching during crystal growth
• Mathematical modeling of interfacial gel polymerization.
• Fast Reaction, Slow Diffusion, and Curve Shortening
• Propagation of frontal polymerization—crystallization waves
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• The growth of crystals and the equilibrium structure of their surfaces