Two dimensional graph model for epitaxial crystal growth with adatoms
Analysis of PDEs
2024-11-28 v2
Abstract
We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on the surface of the film. These are behind the main mechanisms of crystal growth and formation of islands (or quantum dots). The main result of the paper is the integral representation of the relaxed energy.
Keywords
Cite
@article{arxiv.2402.08447,
title = {Two dimensional graph model for epitaxial crystal growth with adatoms},
author = {Riccardo Cristoferi and Gabriele Fissore},
journal= {arXiv preprint arXiv:2402.08447},
year = {2024}
}