Pressure of a dilute spin-polarized Fermi gas: Upper bound
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913421185777664 |
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| author | Lauritsen, Asbjørn Bækgaard Seiringer, Robert |
| author_facet | Lauritsen, Asbjørn Bækgaard Seiringer, Robert |
| contents | We prove an upper bound on the pressure of a dilute fully spin-polarized Fermi gas capturing the leading correction to the pressure of a free gas resulting from repulsive interactions. This correction is of order $a^3ρ^{8/3}$, with $a$ the $p$-wave scattering length of the interaction and $ρ$ the particle density, depends on the temperature and matches the corresponding lower bound of [arXiv:2307.01113]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05990 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pressure of a dilute spin-polarized Fermi gas: Upper bound Lauritsen, Asbjørn Bækgaard Seiringer, Robert Mathematical Physics We prove an upper bound on the pressure of a dilute fully spin-polarized Fermi gas capturing the leading correction to the pressure of a free gas resulting from repulsive interactions. This correction is of order $a^3ρ^{8/3}$, with $a$ the $p$-wave scattering length of the interaction and $ρ$ the particle density, depends on the temperature and matches the corresponding lower bound of [arXiv:2307.01113]. |
| title | Pressure of a dilute spin-polarized Fermi gas: Upper bound |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2407.05990 |