Quasicrystal problem -- on rigidity of non-periodic structures from statistical mechanics point of view
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910764913131520 |
|---|---|
| author | Miȩkisz, Jacek |
| author_facet | Miȩkisz, Jacek |
| contents | We present a brief history of quasicrystals and a short introduction to classical lattice-gas models of interacting particles. We discuss stability of non-periodic tilings and one-dimensional sequences of symbols seen as ground states of some hamiltonians. We argue that some sort of homogeneity, the so-called Strict Boundary Condition, is necessary for stability of non-periodic ground states against small perturbations of interactions and thermal fluctuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasicrystal problem -- on rigidity of non-periodic structures from statistical mechanics point of view Miȩkisz, Jacek Mathematical Physics Statistical Mechanics 37B10, 37B50, 82B20, 52C23, 52C25 We present a brief history of quasicrystals and a short introduction to classical lattice-gas models of interacting particles. We discuss stability of non-periodic tilings and one-dimensional sequences of symbols seen as ground states of some hamiltonians. We argue that some sort of homogeneity, the so-called Strict Boundary Condition, is necessary for stability of non-periodic ground states against small perturbations of interactions and thermal fluctuations. |
| title | Quasicrystal problem -- on rigidity of non-periodic structures from statistical mechanics point of view |
| topic | Mathematical Physics Statistical Mechanics 37B10, 37B50, 82B20, 52C23, 52C25 |
| url | https://arxiv.org/abs/2412.19594 |