The two-dimensional one-component plasma is hyperuniform
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909650261114880 |
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| author | Leblé, Thomas |
| author_facet | Leblé, Thomas |
| contents | We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than the area. In other words the system is hyperuniform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_05109 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The two-dimensional one-component plasma is hyperuniform Leblé, Thomas Mathematical Physics Probability We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than the area. In other words the system is hyperuniform. |
| title | The two-dimensional one-component plasma is hyperuniform |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2104.05109 |