Energy scaling and asymptotic properties of one-dimensional discrete system with generalized Lennard-Jones \((m, n)\) interaction

DOI10.1007/S00332-021-09704-6zbMath1462.74015arXiv2004.12279OpenAlexW3020176095MaRDI QIDQ2022574

Tao Luo, Nung Kwan Yip, Yang Xiang

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12279

zbMATH Keywords

epitaxial growthscaling lawLennard-Jones potentialnon-local interactioncrystallizationstep bunching

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Crystalline structure (74E15) Energy minimization in equilibrium problems in solid mechanics (74G65) Statistical mechanics of crystals (82D25) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Cites Work

• The crystallization conjecture: a review
• Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
• Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface

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