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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2605.12043 |
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| _version_ | 1866917485024903168 |
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| author | Lee, Kawon Oh, Sangeun Choi, Young Woo Park, Jeong-Hyuck |
| author_facet | Lee, Kawon Oh, Sangeun Choi, Young Woo Park, Jeong-Hyuck |
| contents | We show that the thermodynamics of $N$ identical fermions maps onto that of distinguishable particles governed by a collective statistical potential -- the microscopic origin of degeneracy pressure. Known to be purely repulsive for ${N=2}$, this potential develops attractive contributions for ${N\geq 3}$. Its minima coincide with Pauli crystal configurations, providing the energetic origin of these structures. For large $N$, the dominant force is attractive on inner shells and repulsive on outer ones -- not of two-body origin. The global minimum undergoes discrete melting transitions at specific temperatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12043 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Statistical Potential for Identical Fermions: Emergent Attraction and Pauli Crystal Formation Lee, Kawon Oh, Sangeun Choi, Young Woo Park, Jeong-Hyuck Statistical Mechanics We show that the thermodynamics of $N$ identical fermions maps onto that of distinguishable particles governed by a collective statistical potential -- the microscopic origin of degeneracy pressure. Known to be purely repulsive for ${N=2}$, this potential develops attractive contributions for ${N\geq 3}$. Its minima coincide with Pauli crystal configurations, providing the energetic origin of these structures. For large $N$, the dominant force is attractive on inner shells and repulsive on outer ones -- not of two-body origin. The global minimum undergoes discrete melting transitions at specific temperatures. |
| title | Statistical Potential for Identical Fermions: Emergent Attraction and Pauli Crystal Formation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2605.12043 |