Two dimensional graph model for epitaxial crystal growth with adatoms
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910718469603328 |
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| author | Cristoferi, Riccardo Fissore, Gabriele |
| author_facet | Cristoferi, Riccardo Fissore, Gabriele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two dimensional graph model for epitaxial crystal growth with adatoms Cristoferi, Riccardo Fissore, Gabriele Analysis of PDEs 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. |
| title | Two dimensional graph model for epitaxial crystal growth with adatoms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.08447 |