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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.22871 |
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| _version_ | 1866909977040388096 |
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| author | Chan, Chuan-Tsung Chang, Chan-Yi Wu, Zhong-Tang |
| author_facet | Chan, Chuan-Tsung Chang, Chan-Yi Wu, Zhong-Tang |
| contents | Based on a cocycle structure, we identify a new derivation of the Boltzmann distribution for finite energy-level systems from the maximal entropy principle (MEP). Our approach does not rely on the method of the Lagrange multiplier, and it provides a more transparent way to understand the dependence on the energy levels of the temperature $T = 1/β$ for the equilibrium distribution. Finally, we make two curious observations associated with our derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Cocycle Structure of the Boltzmann Distribution Chan, Chuan-Tsung Chang, Chan-Yi Wu, Zhong-Tang Statistical Mechanics High Energy Physics - Theory Based on a cocycle structure, we identify a new derivation of the Boltzmann distribution for finite energy-level systems from the maximal entropy principle (MEP). Our approach does not rely on the method of the Lagrange multiplier, and it provides a more transparent way to understand the dependence on the energy levels of the temperature $T = 1/β$ for the equilibrium distribution. Finally, we make two curious observations associated with our derivations. |
| title | On the Cocycle Structure of the Boltzmann Distribution |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.22871 |