Calculus of Variations and Geometric Measure Theory

R. Cristoferi - G. Fissore

Two dimensional graph model for epitaxial crystal growth with adatoms

created by fissore on 12 Feb 2024



Inserted: 12 feb 2024
Last Updated: 12 feb 2024

Year: 2024


We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linear 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.