Kinetic Theory of Carroll Hydrodynamics
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917481453453312 |
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| author | Chabirand, Victor Fiorucci, Adrien Petropoulos, P. Marios Vilatte, Matthieu |
| author_facet | Chabirand, Victor Fiorucci, Adrien Petropoulos, P. Marios Vilatte, Matthieu |
| contents | We develop the foundations of Carrollian statistical mechanics by considering a system of interacting instantonic space-filling branes on a flat background, thereby providing the closest Carrollian analogue to the Galilean gas of interacting particles that underpins Boltzmann's collision theory. By adapting Boltzmann's statistical approach within this framework, we provide a first-principles microscopic derivation of the so-called Carrollian fluid equations, which were previously obtained as the vanishing-speed-of-light limit of relativistic conservation laws. We then use this analysis as a basis for formulating the first elements of Carrollian thermodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06786 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kinetic Theory of Carroll Hydrodynamics Chabirand, Victor Fiorucci, Adrien Petropoulos, P. Marios Vilatte, Matthieu High Energy Physics - Theory We develop the foundations of Carrollian statistical mechanics by considering a system of interacting instantonic space-filling branes on a flat background, thereby providing the closest Carrollian analogue to the Galilean gas of interacting particles that underpins Boltzmann's collision theory. By adapting Boltzmann's statistical approach within this framework, we provide a first-principles microscopic derivation of the so-called Carrollian fluid equations, which were previously obtained as the vanishing-speed-of-light limit of relativistic conservation laws. We then use this analysis as a basis for formulating the first elements of Carrollian thermodynamics. |
| title | Kinetic Theory of Carroll Hydrodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.06786 |