Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard-Jones (m, n) Interaction

• Published in: Journal of nonlinear science Vol. 31; no. 2
• Main Authors: Luo, Tao, Xiang, Yang, Yip, Nung Kwan
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.04.2021; Springer Nature B.V
• Subjects: Analysis; Asymptotic properties; Bunching; Classical Mechanics; Critical point; Dimensional analysis; Dipole interactions; Discrete systems; Economic Theory/Quantitative Economics/Mathematical Methods; Epitaxial growth; Interaction parameters; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Phase transitions; Stability analysis; Surface stability; Theoretical; 74A50; 49K99; 74G45; 74G65; Crystallization; Non-local interaction; Epitaxial growth; Lennard-Jones potential; Energy scaling law; Step bunching

It is well known that elastic effects can cause surface instability. In this paper, we analyze a one-dimensional discrete system which can reveal pattern formation mechanism resembling the “step-bunching” phenomenon for epitaxial growth on vicinal surfaces. The surface steps are subject to long-rang...