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arXiv · 2605.06786

Kinetic Theory of Carroll Hydrodynamics

Victor Chabirand·Adrien Fiorucci·P. Marios Petropoulos·Matthieu Vilatte
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Abstract

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.

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Victor Chabirand, Adrien Fiorucci, P. Marios Petropoulos, Matthieu Vilatte. 2026-05-07. Kinetic Theory of Carroll Hydrodynamics. https://arxiv.org/abs/2605.06786

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